Niven number

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.

1. What is the Niven number example?
2. Is 126 a Niven number?
3. How do I find my Niven number?
4. Is 108 a Niven number?

What is the Niven number example?

Sum of the digits of the number = 1 + 4 = 5. So, 14 is not divisible by 5. Hence, 14 is not a Niven number. Some other examples of Niven numbers include 1, 2, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20 etc.

Is 126 a Niven number?

(Niven number is that number which is divisible by its sum of digits). Example: Consider the number 126. The Sum of its digits is 1+2+6 = 9 and 126 is divisible by 9.

How do I find my Niven number?

A number is said to be a niven number or harshad number if the number is divisible by the sum of the digits of the number. For example, if the number is 18, the sum of the digits is 1+8=9 and the number '18' is divisible by 9. Therefore, 18 is a niven number.

Is 108 a Niven number?

A Niven number is a number that is divisible by the sum of its digits. For example, 108 is a Niven number because 1 + 0 + 8 = 9 and 108 is divisible by 9 (many, but not all, multiples of 9 are Niven numbers). On the other hand, 121 is not a Niven number because 1 + 2 + 1 is 4 and 121 is not divisible by 4.