olymmath

AIME 1987 Problem 3

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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?

Dataset text AIME 1983 to 2026. Quoted with source.

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