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130229568 = 2632732299
BaseRepresentation
bin1111100001100…
…10010101000000
3100002001100101100
413300302111000
5231314321233
620531134400
73140635020
oct760622500
9302040340
10130229568
1167569447
1237744400
1320c99121
141341da80
15b676813
hex7c32540

130229568 has 84 divisors (see below), whose sum is σ = 426618400. Its totient is φ = 37207296.

The previous prime is 130229563. The next prime is 130229587. The reversal of 130229568 is 865922031.

130229568 is a `hidden beast` number, since 1 + 302 + 295 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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 (130229563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12118 + ... + 20181.

Almost surely, 2130229568 is an apocalyptic number.

130229568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130229568 is an abundant number, since it is smaller than the sum of its proper divisors (296388832).

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

130229568 is a wasteful number, since it uses less digits than its factorization.

130229568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32324 (or 32311 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130229568 is about 11411.8170332336. The cubic root of 130229568 is about 506.8777175536.

The spelling of 130229568 in words is "one hundred thirty million, two hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32299 64598 96897 129196 193794 226093 258392 290691 387588 452186 516784 581382 678279 775176 904372 1033568 1162764 1356558 1550352 1808744 2034837 2067136 2325528 2713116 3100704 3617488 4069674 4651056 5426232 6201408 7234976 8139348 9302112 10852464 14469952 16278696 18604224 21704928 32557392 43409856 65114784 130229568