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130546368 = 2632226643
BaseRepresentation
bin1111100011111…
…11101011000000
3100002122102221200
413301333223000
5231404440433
620542021200
73143424441
oct761775300
9302572850
10130546368
1167765467
1237877800
132107a394
14134a32c8
15b6da613
hex7c7fac0

130546368 has 42 divisors (see below), whose sum is σ = 374189244. Its totient is φ = 43515264.

The previous prime is 130546343. The next prime is 130546369. The reversal of 130546368 is 863645031.

130546368 is a `hidden beast` number, since 13 + 0 + 5 + 4 + 636 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130546369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112746 + ... + 113897.

Almost surely, 2130546368 is an apocalyptic number.

130546368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130546368 is an abundant number, since it is smaller than the sum of its proper divisors (243642876).

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

130546368 is a wasteful number, since it uses less digits than its factorization.

130546368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226661 (or 226648 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 130546368 is about 11425.6889507810. The cubic root of 130546368 is about 507.2883995761.

The spelling of 130546368 in words is "one hundred thirty million, five hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 226643 453286 679929 906572 1359858 1813144 2039787 2719716 3626288 4079574 5439432 7252576 8159148 10878864 14505152 16318296 21757728 32636592 43515456 65273184 130546368