MathDB
\overline{abc} = abc(a+b+c) in decimal base

Source: JBMO 2005, Problem 4

October 29, 2005
number theory proposednumber theory

Problem Statement

Find all 3-digit positive integers abc‾\overline{abc} such that abc‾=abc(a+b+c), \overline{abc} = abc(a+b+c) , where abc‾\overline{abc} is the decimal representation of the number.
Back to ProblemsView on AoPS