A Hard Divisibility Problem

Number Theory Level pending

What is the 99000th smallest positive integer that is divisible by 2, 3, 4, & 5 but is not divisible by 16, 27, 100, or 200? Clarification: The number you are looking for is divisible by none of the following numbers: 16, 27, 100, 200.


The answer is 11137380.

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