Another Divisibility Problem

Number Theory Level pending

What is the tenth smallest positive integer that is divisible by 4, 5, 7, & 9 but is not divisible by 16, 81, 245, or 1225? Clarification: The number you are looking for is divisible by none of the following numbers: 16, 81, 245, 1225.


The answer is 21420.

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