olymmath

KöMaL 2017 C1392

    The number 2017−(2+0+1+7)2017-(2+0+1+7) is divisible by the number (2+20+201)(2+20+201), that is, 2017 has the following property: if the sum of the digits of the number is subtracted from it, the result will be a four-digit number that is divisible by the sum of the one-digit number formed by the first digit, the two-digit number formed by the first two digits, and the three-digit number formed by the first three digits. How many four-digit numbers have this property?

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