64,000

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Number

$64 \, 000$ (sixty-four thousand) is:

$2^9 \times 5^3$


The $3$rd (and last) after $1$, $21 \, 952$ of the $3$ positive integers whose divisor count equals its cube root:
$\map {\sigma_0} {64 \, 000} = 40$


The $40$th cube number:
$64 \, 000 = 40 \times 40 \times 40$


Arithmetic Functions on $64 \, 000$

\(\ds \map {\sigma_0} { 64 \, 000 }\) \(=\) \(\ds 40\) $\sigma_0$ of $64 \, 000$



Also see


Sources

  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $64,000$
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