616
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Number
$616$ (six hundred and sixteen) is:
- $2^3 \times 7 \times 11$
- The $16$th heptagonal number after $1$, $7$, $18$, $34$, $55$, $81$, $112$, $148$, $189$, $235$, $286$, $342$, $403$, $469$, $540$:
- $616 = \ds \sum_{k \mathop = 1}^{16} \paren {5 k - 4} = \dfrac {16 \paren {5 \times 16 - 3} } 2$
- The $19$th integer $n$ after $1$, $3$, $15$, $30$, $35$, $56$, $70$, $78$, $105$, $140$, $168$, $190$, $210$, $248$, $264$, $357$, $420$, $570$ with the property that $\map {\sigma_0} n \divides \map \phi n \divides \map {\sigma_1} n$:
- $\map {\sigma_0} {616} = 16$, $\map \phi {616} = 240$, $\map {\sigma_1} {616} = 1440$
Arithmetic Functions on $616$
| \(\ds \map {\sigma_0} { 616 }\) | \(=\) | \(\ds 16\) | $\sigma_0$ of $616$ | |||||||||||
| \(\ds \map \phi { 616 }\) | \(=\) | \(\ds 240\) | $\phi$ of $616$ | |||||||||||
| \(\ds \map {\sigma_1} { 616 }\) | \(=\) | \(\ds 1440\) | $\sigma_1$ of $616$ |