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 A versatile number (Posted on 2014-10-13)
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?

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 re: Bonus only--not the actual puzzle. HINT | Comment 2 of 6 |
(In reply to Bonus only--not the actual puzzle. by Charlie)

Without a computer: as you saw, 0 is out and if you get rid of 5 then 4 must be out and you are  left with 7 digits only.

After a while IF you see that one digit more must leave - 9 of course...?..OR  replace the 4 ,5,  by 1,3,5..???..and leave 9 in..

Now it is not so difficult to carry on  with p&p...

Edited on October 13, 2014, 10:22 am
 Posted by Ady TZIDON on 2014-10-13 10:07:45

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