588 B
588 B
The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 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 0 to 9 pandigital numbers with this property.