570
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Number
$570$ (five hundred and seventy) is:
- $2 \times 3 \times 5 \times 19$
- The $18$th integer $n$ after $1$, $3$, $15$, $30$, $35$, $56$, $70$, $78$, $105$, $140$, $168$, $190$, $210$, $248$, $264$, $357$, $420$ with the property that $\map {\sigma_0} n \divides \map \phi n \divides \map {\sigma_1} n$:
- $\map {\sigma_0} {570} = 16$, $\map \phi {570} = 144$, $\map {\sigma_1} {570} = 1440$
- The $23$rd integer after $7$, $13$, $19$, $35$, $38$, $\ldots$, $223$, $253$, $285$, $305$, $350$, $380$, $410$, $475$, $487$ the decimal representation of whose square can be split into two parts which are each themselves square:
- $570^2 = 324 \, 900$; $324 = 18^2$, $900 = 30^2$
Arithmetic Functions on $570$
| \(\ds \map {\sigma_0} { 570 }\) | \(=\) | \(\ds 16\) | $\sigma_0$ of $570$ | |||||||||||
| \(\ds \map \phi { 570 }\) | \(=\) | \(\ds 144\) | $\phi$ of $570$ | |||||||||||
| \(\ds \map {\sigma_1} { 570 }\) | \(=\) | \(\ds 1440\) | $\sigma_1$ of $570$ |