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Omni-MATH / Let n be the smallest positive integer with exactly 2015 positive factors. What is the sum of the (not necessarily distinct) prime factors of n?

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problem

Let nn be the smallest positive integer with exactly 2015 positive factors. What is the sum of the (not necessarily distinct) prime factors of nn?
Plain-text mathematical notation (without MathML)
Let n be the smallest positive integer with exactly 2015 positive factors. What is the sum of the (not necessarily distinct) prime factors of n?
Original LaTeX notation
Let $n$ be the smallest positive integer with exactly 2015 positive factors. What is the sum of the (not necessarily distinct) prime factors of $n$?

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