1080
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Number
$1080$ (one thousand and eighty) is:
- $2^3 \times 3^3 \times 5$
- The $27$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $477$, $532$, $590$, $651$, $715$, $782$, $852$, $925$, $1001$:
- $1080 = \ds \sum_{k \mathop = 1}^{27} \paren {3 k - 2} = \dfrac {27 \paren {3 \times 27 - 1} } 2$
- The $45$th highly abundant number after $1$, $2$, $3$, $4$, $6$, $8$, $10$, $\ldots$, $336$, $360$, $420$, $480$, $504$, $600$, $630$, $660$, $720$, $840$, $840$, $960$, $1008$:
- $\map {\sigma_1} {1080} = 3600$
- The $53$rd generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $610$, $651$, $672$, $715$, $737$, $782$, $805$, $852$, $876$, $925$, $950$, $1001$, $1027$:
- $1080 = \ds \sum_{k \mathop = 1}^{27} \paren {3 k - 2} = \dfrac {27 \paren {3 \times 27 - 1} } 2$
Arithmetic Functions on $1080$
| \(\ds \map {\sigma_1} { 1080 }\) | \(=\) | \(\ds 3600\) | $\sigma_1$ of $1080$ |