7560
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Number
$7560$ (seven thousand, five hundred and sixty) is:
- $2^3 \times 3^3 \times 5 \times 7$
- The $1$st highly composite number which is not also superabundant:
- $\dfrac {\map {\sigma_1} {7560} } {7560} = \dfrac {28 \, 800} {7560} \approx 3 \cdotp 810$, but $\dfrac {\map {\sigma_1} {5040} } {5040} = \dfrac {19 \, 344} {5040} \approx 3 \cdotp 838$, which is greater
- The $20$th highly composite number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$, $720$, $840$, $1260$, $1680$, $2520$, $5040$:
- $\map {\sigma_0} {7560} = 64$
Arithmetic Functions on $7560$
| \(\ds \map {\sigma_0} { 7560 }\) | \(=\) | \(\ds 64\) | $\sigma_0$ of $7560$ | |||||||||||
| \(\ds \map {\sigma_1} { 7560 }\) | \(=\) | \(\ds 28 \, 800\) | $\sigma_1$ of $7560$ |
Also see
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $7560$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $7560$