THE PUZZLET PAGE


PUZZLET 181

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.



MAIN MENU
SOLUTION
ARCHIVES

Site design/maintenance: Dave Ellis E-mail me!
Last Updated: January 17th, 2010.