MathDB

3

Part of 2004 German National Olympiad

Problems(1)

Integer divisible by its sum of digits

Source: Germany 2004 - Problem 3

12/22/2022
Prove that for every positive integer nn there is an nn-digit number zz with none of its digits 00 and such that zz is divisible by its sum of digits.
number theoryDivisibilityDigitssum of digits