1027

Number
$1027$ (one thousand and twenty-seven) is:
 * $13 \times 79$


 * The $26$th second pentagonal number after $2$, $7$, $15$, $26$, $\ldots$, $610$, $672$, $737$, $805$, $876$, $950$:
 * $1027 = \dfrac {26 \left({3 \times 26 + 1}\right)} 2$


 * The $52$nd generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $610$, $651$, $672$, $715$, $737$, $782$, $805$, $852$, $876$, $925$, $950$, $1001$:
 * $1027 = \dfrac {26 \left({3 \times 26 + 1}\right)} 2$


 * The $19$th centered hexagonal number after $1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817, 919$:
 * $1027 = \displaystyle 1 + \sum_{k \mathop = 1}^{19 - 1} 6 k = 19^3 - 18^3$