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Omni-MATH / If N is the smallest positive integer whose digits have a product of 2700, what is the sum of the digits of N?

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problem

If N N is the smallest positive integer whose digits have a product of 2700, what is the sum of the digits of N N ?
Plain-text mathematical notation (without MathML)
If N is the smallest positive integer whose digits have a product of 2700, what is the sum of the digits of N?
Original LaTeX notation
If \( N \) is the smallest positive integer whose digits have a product of 2700, what is the sum of the digits of \( N \)?

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