510

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Number

$510$ (five hundred and ten) is:

$2 \times 3 \times 5 \times 17$

The index of the seventh power which provides the closest known approximation to a power of $10$:

$7^{510} \approx 1 \cdotp 00000 \, 09377 \, 76536 \ldots \times 10^{431}$

The $13$th positive integer after $200$, $202$, $204$, $205$, $206$, $208$, $320$, $322$, $324$, $325$, $326$, $328$ that cannot be made into a prime number by changing just $1$ digit

The $27$th number whose divisor sum is square:

$\map {\sigma_1} {510} = 1296 = 36^2$

Also see

• Approximation to Power of 7 by Power of 10

• Previous  ... Next: Numbers that cannot be made Prime by changing 1 Digit
• Previous  ... Next: Numbers whose Divisor Sum is Square

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $510$