A number which is a harshad number in every number base is called an all-harshad number, or an all-Niven number. There are only four all-harshad numbers: 1, 2, 4, and 6.

Dec 3, 2025 · Harshad Number A positive integer which is divisible by the sum of its digits, also called a Niven number (Kennedy et al. 1980) or a multidigital number (Kaprekar 1955).

Sep 11, 2023 · An integer number in base 10 which is divisible by the sum of its digits is said to be a Harshad Number. An n-Harshad number is an integer number divisible by the sum of its digit in base n.

Return the sum of the digits of x if x is a Harshad number, otherwise, return -1. Example 1: Input: x = 18 Output: 9 Explanation: The sum of digits of x is 9. 18 is divisible by 9.

In recreational 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.

Definition A harshad number is a positive integer which is divisible by the sum of its digits base $10$. Hence a harshad number is a Niven number base $10$.

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. [1]

A Harshad number, or Niven number, is an integer that is divisible by the sum of its digits in a given number base. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The …

May 25, 1999 · A Positive Integer which is Divisible by the sum of its Digits, also called a Niven Number (Kennedy et al. 1980). The first few are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, ...

Sep 6, 2017 · A base b Harshad number is a positive integer that is divisible by the sum of its base b digits. For example, in the decimal numeral system, 1729 is a Harshad number since 1 + 7 + 2 + 9 = …