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1. en.wikipedia.org › wiki › Harshad_numberHarshad number - Wikipedia

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   A harshad number is an integer that is divisible by the sum of its digits in a given base. Learn the definition, examples, properties and sequences of harshad numbers, also known as Niven numbers.

2. www.geeksforgeeks.org › harshad-or-niven-numberHarshad (Or Niven) Number - GeeksforGeeks

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   Sep 11, 2023 · Given an array arr[] consisting of N integers, the task is to check if the number formed by concatenating all the array elements is a Harshad number or not. Examples: Input: arr[] = { 1, 35, 69, 60}Output: YesExplanation:The number formed by concatenating array elements is "1356960".Sum of digits of the number = 1 + 3 + 5 + 6 + 9 + 6 + 0 = 30.

3. www.javatpoint.com › program-to-check-harshad-numberProgram to determine whether a given number is a Harshad ...

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   Harshad number. A number is said to be the Harshad number if it is divisible by the sum of its digit. For example, if number is 156, then sum of its digit will be 1 + 5 + 6 = 12. Since 156 is divisible by 12. So, 156 is a Harshad number. Some of the other examples of Harshad number are 8, 54, 120, etc.

4. People also ask

   What is an all-harshad number?

   • Define an all-Harshad (or all-Niven) number as a positive integer which is divisible by the sum of its digits in all bases . Then only 1, 2, 4, and 6 are all-Harshad numbers. Cai, T. "On 2-Niven Numbers and 3-Niven Numbers." Fib. Quart. 34, 118-120, 1996. Cooper, C. N. and Kennedy, R. E. "Chebyshev's Inequality and Natural Density."

   Harshad Number -- from Wolfram MathWorld

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   What is a -Harshad number?

   • Grundman (1994) defined an -Harshad (or -Niven) number to be a positive integer which is divisible by the sum of its digits in base . Cai (1996) showed that for or 3, there exists an infinite family of sequences of consecutive -Harshad numbers of length .

   Harshad Number -- from Wolfram MathWorld

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   Is 156 a Harshad number?

   • So, 156 is a Harshad number. To find whether the given number is a Harshad number or not, calculate the sum of the digit of the number then, check whether the given number is divisible by the sum of its digit. If yes, then given number is a Harshad number. Make a copy of the num by storing the value of num in variable n.

   Program to determine whether a given number is a Harshad number

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   What is a Harshad number in a base n?

   • In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base n are also known as n-harshad (or n-Niven) numbers. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India.

   Harshad number - Wikipedia

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5. mathworld.wolfram.com › HarshadNumberHarshad Number -- from Wolfram MathWorld

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   3 days ago · A Harshad number is a positive integer that is divisible by the sum of its digits. Learn about the history, classification and sequences of Harshad numbers, and explore them with Wolfram|Alpha.

6. planetmath.org › HarshadNumberHarshad number - PlanetMath.org

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   A Harshad number is an integer that is divisible by the sum of its digits. Learn how to identify and classify Harshad numbers in different bases, and see some examples and properties.

   • Canonical name: HarshadNumber
   • Last modified on: 2013-03-22 15:47:04

   • Date of creation: 2013-03-22 15:47:04
   • Title: Harshad number

7. simple.wikipedia.org › wiki › Harshad_numberHarshad number - Simple English Wikipedia, the free encyclopedia

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   A harshad number is an integer that is divisible by the sum of its digits in a given base. Learn about the definition, examples and properties of harshad numbers in different bases.

8. nickhuemmer.com › posts › harshad_numbersHarshad Numbers

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   Harshad/Niven numbers are positive numbers that are divisible by the sum of their digits. All single-digit numbers are Harshad numbers. For example, 27 is a Harshad number as 2 + 7 = 9, and 9 is a divisor of 27. Harshad numbers can occur in consecutive clusters. The numbers 1 through 10 are Harshad numbers.