# 272

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## Number

$272$ (two hundred and seventy-two) is:

$2^4 \times 17$

The $5$th primitive abundant number after $20, 70, 88, 104$:
$1 + 2 + 4 + 8 + 16 + 17 + 34 + 68 + 136 = 286 > 272$

The $6$th primitive semiperfect number after $6, 20, 28, 88, 104$:
$272 = 1 + 16 + 17 + 34 + 68 + 136$

The $13$th inconsummate number after $62$, $63$, $65$, $75$, $84$, $95$, $161$, $173$, $195$, $216$, $261$, $266$:
$\nexists n \in \Z_{>0}: n = 272 \times \map {s_{10} } n$

The $53$rd positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.