Problem 47568. find the lowest number with given amount of integer factors

given a number X, find the lowest positive integer Y which can be devided by excactly X different integers (with no remainder).
For example, the number 20 can be divided by 6 different integers, namely 1, 2, 4, 5, 10 and 20. However, when the given number X is 6, Y should be 12, since 12 can be divided by 1, 2, 3, 4, 6 and 12 (also 6 in total), and there is no lower number with such many factors.

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42.86% Correct | 57.14% Incorrect
Last Solution submitted on Jan 24, 2024

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