Contiguous Digit Sums

The CDS (contiguous digit sum) of any
integer is the sum of all the smaller integers that can be formed from
it, using only contiguous digits. Example: CDS(8358) = 1393, the sum of 8,83,835,3,35,358,5,58,8.
It just so happens that 8358 is thus a multiple of its own CDS. 8358/1893 = 6 exactly. Find all other 4-digit integers which are an exact multiple of their own CDS. |

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Last Updated: January 17th, 2010.