Self-Generated Integer Products

Find
a 5-digit integer such that the sum of the cube of the integer formed
from its first 2 digits and the square of the integer formed from its
last 3 digits generates a new integer which is an exact multiple of the
original integer. Example: 78741 --» 78 ^{3}
+ 741^{2} = 13 x 78741 |

Site design/maintenance: Dave EllisE-mail me!

Last Updated: January 13th, 2010.