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130590624 = 2531360319
BaseRepresentation
bin1111100100010…
…10011110100000
3100002201200122210
413302022132200
5231412344444
620543002120
73144000453
oct762123640
9302650583
10130590624
116779573a
1237899340
1321094578
14134b549a
15b6e87b9
hex7c8a7a0

130590624 has 24 divisors (see below), whose sum is σ = 342800640. Its totient is φ = 43530176.

The previous prime is 130590601. The next prime is 130590637. The reversal of 130590624 is 426095031.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1305906242 = 34107822153418752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130590591 and 130590600.

It is an unprimeable number.

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, 680064 + ... + 680255.

It is an arithmetic number, because the mean of its divisors is an integer number (14283360).

Almost surely, 2130590624 is an apocalyptic number.

It is an amenable number.

130590624 is an abundant number, since it is smaller than the sum of its proper divisors (212210016).

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

130590624 is a wasteful number, since it uses less digits than its factorization.

130590624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360332 (or 1360324 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 130590624 is about 11427.6254751370. The cubic root of 130590624 is about 507.3457177006.

The spelling of 130590624 in words is "one hundred thirty million, five hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1360319 2720638 4080957 5441276 8161914 10882552 16323828 21765104 32647656 43530208 65295312 130590624