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130588965 = 32513223229
BaseRepresentation
bin1111100100010…
…10000100100101
3100002201121101100
413302022010211
5231412321330
620542550313
73143662563
oct762120445
9302647340
10130588965
1167794471
1237898399
13210938a0
14134b4a33
15b6e8060
hex7c8a125

130588965 has 24 divisors (see below), whose sum is σ = 243767160. Its totient is φ = 64289664.

The previous prime is 130588949. The next prime is 130588973. The reversal of 130588965 is 569885031.

130588965 is a `hidden beast` number, since 1 + 3 + 0 + 588 + 9 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2604996 + 127983969 = 1614^2 + 11313^2 .

It is not a de Polignac number, because 130588965 - 24 = 130588949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 130588965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111030 + ... + 112199.

It is an arithmetic number, because the mean of its divisors is an integer number (10156965).

Almost surely, 2130588965 is an apocalyptic number.

130588965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130588965 is a deficient number, since it is larger than the sum of its proper divisors (113178195).

130588965 is a wasteful number, since it uses less digits than its factorization.

130588965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223253 (or 223250 counting only the distinct ones).

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

The square root of 130588965 is about 11427.5528876483. The cubic root of 130588965 is about 507.3435692816.

The spelling of 130588965 in words is "one hundred thirty million, five hundred eighty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 223229 669687 1116145 2009061 2901977 3348435 8705931 10045305 14509885 26117793 43529655 130588965