MathDB
Bold numbers

Source: Brazilian Math Olympiad 2006, Problem 4

October 30, 2006
number theorygreatest common divisornumber theory unsolved

Problem Statement

A positive integer is bold iff it has 88 positive divisors that sum up to 32403240. For example, 20062006 is bold because its 88 positive divisors, 11, 22, 1717, 3434, 5959, 118118, 10031003 and 20062006, sum up to 32403240. Find the smallest positive bold number.
Back to ProblemsView on AoPS