Find how many multiples of 360 are of the form $\overline{ab2017cd}$, where a, b, c, d are digits, with a > 0.
Source: VII Lusophon Mathematical Olympiad 2017 - Problem 4
Tags: number theory, Digits
Find how many multiples of 360 are of the form $\overline{ab2017cd}$, where a, b, c, d are digits, with a > 0.