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A versatile number (Posted on 2014-10-13) Difficulty: 2 of 5
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?

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: manual solution to bonus is wrong | Comment 5 of 6 |
(In reply to manual solution to bonus is wrong by Charlie)

Yes. This was the subject of a problem in New Scientist, April 2011.

The key to the solution is divisibility by 7 but there are a tedious number of alternatives to be eliminated.

I did not win the prize, unfortunately.

Edited on October 14, 2014, 9:07 am
  Posted by broll on 2014-10-14 09:02:39

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