1520
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Number
$1520$ (one thousand, five hundred and twenty) is:
- $2^4 \times 5 \times 19$
- The $32$nd pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $925$, $1001$, $1080$, $1162$, $1247$, $1335$, $1426$:
- $1520 = \ds \sum_{k \mathop = 1}^{32} \paren {3 k - 2} = \dfrac {32 \paren {3 \times 32 - 1} } 2$
- The $63$rd generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $925$, $950$, $1001$, $1027$, $1080$, $1107$, $1162$, $1190$, $1247$, $1276$, $1335$, $1365$, $1426$, $1457$:
- $1520 = \ds \sum_{k \mathop = 1}^{32} \paren {3 k - 2} = \dfrac {32 \paren {3 \times 32 - 1} } 2$