The number, 1406357289, is a pandigital number (i.e. containing all of the digits - 0 to 9 - once, in some order), but it also has a rather interesting sub-string divisibility property.
Let d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note the following:

d2d3d4=406 is divisible by 2
d3d4d5=063 is divisible by 3
d4d5d6=635 is divisible by 5
d5d6d7=357 is divisible by 7
d6d7d8=572 is divisible by 11
d7d8d9=728 is divisible by 13
d8d9d10=289 is divisible by 17

Find the sum of all pandigital numbers with this property.

Source: Euler Project.

Posted by xdog on 2013-09-16 11:35:56