1430

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 $6$, $20$, $28$, $88$, $104$, $\ldots$, $572$, $650$, $748$, $770$, $910$, $945$, $1184$, $1190$, $1312$, $1330$, $1376$:
 * $1430 = 1 + 2 + 5 + 13 + 22 + 26 + 55 + 65 + 110 + 130 + 286 + 715$

Also see

 * Tau Function of 1430