Find the biggest integer N such that:
1. All its digits are distinct.
2. Each of these digits divides N.

Only a p&p solution requested.

Bonus: What would be the answer, if one of N"s digits were exempted from being its divider?

(In reply to Bonus only--not the actual puzzle. by Charlie)

The actual answer is 9876351240, via computer program. Error was in falsely assuming lowest digits should be in the last 3 digits.

Posted by Charlie on 2014-10-13 14:27:46