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130585968 = 2432906847
BaseRepresentation
bin1111100100010…
…01010101110000
3100002201110021100
413302021111300
5231412222333
620542524400
73143651052
oct762112560
9302643240
10130585968
1167792197
1237896700
1321092406
14134b38d2
15b6e7213
hex7c89570

130585968 has 30 divisors (see below), whose sum is σ = 365459744. Its totient is φ = 43528608.

The previous prime is 130585967. The next prime is 130585997. The reversal of 130585968 is 869585031.

130585968 is a `hidden beast` number, since 1 + 3 + 0 + 58 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130585963) 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 5 ways as a sum of consecutive naturals, for example, 453280 + ... + 453567.

Almost surely, 2130585968 is an apocalyptic number.

130585968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130585968 is an abundant number, since it is smaller than the sum of its proper divisors (234873776).

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

130585968 is a wasteful number, since it uses less digits than its factorization.

130585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906861 (or 906852 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 130585968 is about 11427.4217564593. The cubic root of 130585968 is about 507.3396880953.

The spelling of 130585968 in words is "one hundred thirty million, five hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 906847 1813694 2720541 3627388 5441082 7254776 8161623 10882164 14509552 16323246 21764328 32646492 43528656 65292984 130585968