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IL-GILLIS 2018 Problem 4

    The three-digit number 999 has a special property: It is divisible by 27, and its digit sum is also divisible by 27. The four-digit number 5778 also has this property, as it is divisible by 27 and its digit sum is also divisible by 27. How many four-digit numbers have this property?

    Dataset text AI-MO AoPS. Quoted with source.

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