# Sub-string divisibility (Euler Problem 43)¶

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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 $d_1$ be the 1st digit, $d_2$ be the 2nd digit, and so on. In this way, we note the following:

$d_2d_3d_4$=406 is divisible by 2

$d_3d_4d_5$=063 is divisible by 3

$d_4d_5d_6$=635 is divisible by 5

$d_5d_6d_7=357$ is divisible by 7

$d_6d_7d_8=572$ is divisible by 11

$d_7d_8d_9=728$ is divisible by 13

$d_8d_9d_{10} =289$ is divisible by 17

Find the sum of all 0 to 9 pandigital numbers with this property.

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