Easy calculation
Source: Problem 1, Centroamerian Olympiad 2009
October 7, 2009
algebra proposedalgebra
Problem Statement
Let be the product of all non-zero digits of the positive integer . For example, P(4) \equal{} 4, P(50) \equal{} 5, P(123) \equal{} 6, P(2009) \equal{} 18.
Find the value of the sum: P(1) + P(2) + ... + P(2008) + P(2009).