1470

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Number

$1470$ (one thousand, four hundred and seventy) is:

$2 \times 3 \times 5 \times 7^2$

The $14$th pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $126$, $196$, $288$, $405$, $550$, $726$, $936$, $1183$:

$1470 = \ds \sum_{k \mathop = 1}^{14} \dfrac {k \paren {3 k - 1} } 2 = \dfrac {14^2 \paren {14 + 1} } 2$

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