1162

Number
$1162$ (one thousand, one hundred and sixty-two) is:


 * $2 \times 7 \times 83$


 * The $28$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $477$, $532$, $590$, $651$, $715$, $782$, $852$, $925$, $1001$, $1080$:
 * $1162 = \ds \sum_{k \mathop = 1}^{28} \paren {3 k - 2} = \dfrac {28 \paren {3 \times 28 - 1} } 2$


 * The $55$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $610$, $651$, $672$, $715$, $737$, $782$, $805$, $852$, $876$, $925$, $950$, $1001$, $1027$, $1080$, $1107$:
 * $1162 = \ds \sum_{k \mathop = 1}^{28} \paren {3 k - 2} = \dfrac {28 \paren {3 \times 28 - 1} } 2$