1430
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Number
$1430$ (one thousand, four hundred and thirty) is:
- $2 \times 5 \times 11 \times 13$
- The $8$th Catalan number after $(1)$, $1$, $2$, $5$, $14$, $42$, $132$, $429$:
- $1430 = \dfrac 1 {8 + 1} \dbinom {2 \times 8} 8 = \dfrac 1 9 \times 12 \, 870$
- The $18$th primitive abundant number after $20$, $70$, $88$, $104$, $272$, $304$, $368$, $464$, $550$, $572$, $650$, $748$, $836$, $945$, $1184$, $1312$, $1376$:
- $1 + 2 + 5 + 10 + 11 + 13 + 22 + 26 + 55 + 65 + 110 + 130 + 143 + 286 + 715 = 1594 > 1430$
- The $25$th primitive semiperfect number after $6$, $20$, $28$, $88$, $104$, $\ldots$, $572$, $650$, $748$, $770$, $910$, $945$, $1184$, $1190$, $1312$, $1330$, $1376$:
- $1430 = 1 + 2 + 5 + 13 + 22 + 26 + 55 + 65 + 110 + 130 + 286 + 715$
Arithmetic Functions on $1430$
| \(\ds \map {\sigma_0} { 1430 }\) | \(=\) | \(\ds 16\) | $\sigma_0$ of $1430$ |
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