Tuesday, November 16, 2010

Question : Don't be harsh

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 were defined by D. R. Kaprekar, a mathematician from India. The word "Harshad" comes from the Sanskrit harṣa, meaning "great joy". The Niven numbers take their name from Ivan M. Niven from a paper delivered at a conference on number theory in 1997. All integers between zero and n are Harshad numbers in base n.

Using this as your baseline, what is significant about this question.

5 comments:

AttitudeMonger said...

This is the 400th question, and 400 is divisible by 4(4+0+0)! LOL...Good question.

AttitudeMonger said...

In fact after answering this question I was so pleased with it that I wrote a C program to generate Harshad Numbers...!

churott said...

400 is one of those numbers?

R said...

Simple this is Question number #400. 400 is a Harshad number. Sum of digits is 4+0+0=4 and 400 is divisible by 4! Good question.

Siddarth Pai said...

Answer;

Right all

also, its the 400th question on the quizzard