olymmath

OBM 2006 Problem 4

    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.

    Dataset text AI-MO AoPS. Quoted with source.

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