AIME (Level: Easy)
Source:
February 16, 2005
AMCAIMEcalculusintegrationgeometry3D geometrytetrahedron
Problem Statement
By a proper divisor of a natural number we mean a positive integral divisor other than 1 and the number itself. A natural number greater than 1 will be called "nice" if it is equal to the product of its distinct proper divisors. What is the sum of the first ten nice numbers?