Mirror, mirror, on the wall, who's the fairest of them all?

A positive integer \(n \) is called fair if the sum of the factorial of its digits is divisible by itself. 145 is one such number : \[1! + 4! + 5! = 145 \equiv 0 \mod (145) \] Find the sum of all the fair numbers less than \(10^7\).

×

Problem Loading...

Note Loading...

Set Loading...