The ruler of a wealthy kingdom pays his mathematics tutor with
gold coins every day. Every evening, the tutor needs to choose a
new positive integer and teach him some properties of the number.
The king pays him as many gold coins as the minimum number of
distinct digits any positive multiple of this number has.
What is the maximum number of gold coins he can earn every week?
Originally posted at: http://cotpi.com/p/29/
Solutions to 'Rare cubes': http://cotpi.com/p/28/#responses