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130655952 = 24327218517
BaseRepresentation
bin1111100100110…
…10011011010000
3100002212000021100
413302122123100
5231421442302
620544224400
73144362100
oct762323320
9302760240
10130655952
116782a829
123790b100
13210b821b
14134d1200
15b70cd1c
hex7c9a6d0

130655952 has 90 divisors (see below), whose sum is σ = 425376978. Its totient is φ = 37328256.

The previous prime is 130655909. The next prime is 130655953. The reversal of 130655952 is 259556031.

130655952 is a `hidden beast` number, since 1 + 3 + 0 + 65 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 30735936 = 9996^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130655953) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2203 + ... + 16314.

Almost surely, 2130655952 is an apocalyptic number.

130655952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130655952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212688489).

130655952 is an abundant number, since it is smaller than the sum of its proper divisors (294721026).

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

130655952 is a wasteful number, since it uses less digits than its factorization.

130655952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18545 (or 18529 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 130655952 is about 11430.4834543426. The cubic root of 130655952 is about 507.4303035481.

The spelling of 130655952 in words is "one hundred thirty million, six hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 18517 37034 55551 74068 111102 129619 148136 166653 222204 259238 296272 333306 388857 444408 518476 666612 777714 888816 907333 1036952 1166571 1333224 1555428 1814666 2073904 2333142 2666448 2721999 3110856 3629332 4666284 5443998 6221712 7258664 8165997 9332568 10887996 14517328 16331994 18665136 21775992 32663988 43551984 65327976 130655952