1330
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Number
$1330$ (one thousand, three hundred and thirty) is:
- $2 \times 5 \times 7 \times 19$
- The $19$th tetrahedral number, after $1$, $4$, $10$, $20$, $35$, $56$, $84$, $120$, $165$, $220$, $286$, $364$, $455$, $560$, $680$, $816$, $969$, $1140$:
- $1330 = \ds \sum_{k \mathop = 1}^{19} \frac {k \paren {k + 1} } 2 = \dfrac {19 \paren {19 + 1} \paren {19 + 2} } 6$
- The $23$rd primitive semiperfect number after $6$, $20$, $28$, $88$, $104$, $\ldots$, $572$, $650$, $748$, $770$, $910$, $945$, $1184$, $1190$, $1312$:
- $1330 = 2 + 5 + 7 + 14 + 35 + 38 + 70 + 95 + 133 + 266 + 665$
Arithmetic Functions on $1330$
| \(\ds \map {\sigma_0} { 1330 }\) | \(=\) | \(\ds 16\) | $\sigma_0$ of $1330$ |
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