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130518656 = 271759981
BaseRepresentation
bin1111100011110…
…00111010000000
3100002121000221022
413301320322000
5231403044111
620541245012
73143250602
oct761707200
9302530838
10130518656
1167746664
1237863768
132106a898
1413497172
15b6d22db
hex7c78e80

130518656 has 32 divisors (see below), whose sum is σ = 275317380. Its totient is φ = 61419520.

The previous prime is 130518623. The next prime is 130518659. The reversal of 130518656 is 656815031.

It can be written as a sum of positive squares in 2 ways, for example, as 130325056 + 193600 = 11416^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1305186563 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130518659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27815 + ... + 32166.

Almost surely, 2130518656 is an apocalyptic number.

130518656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130518656 is an abundant number, since it is smaller than the sum of its proper divisors (144798724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130518656 is an equidigital number, since it uses as much as digits as its factorization.

130518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60012 (or 60000 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 130518656 is about 11424.4761805520. The cubic root of 130518656 is about 507.2525018048.

The spelling of 130518656 in words is "one hundred thirty million, five hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 59981 119962 239924 479848 959696 1019677 1919392 2039354 3838784 4078708 7677568 8157416 16314832 32629664 65259328 130518656