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130287564 = 223211329009
BaseRepresentation
bin1111100010000…
…00011111001100
3100002011021221100
413301000133030
5231323200224
620532303100
73141266061
oct761003714
9302137840
10130287564
11675a8a80
1237771a90
1320cb9644
1413436c68
15b688ac9
hex7c407cc

130287564 has 36 divisors (see below), whose sum is σ = 359278920. Its totient is φ = 39480960.

The previous prime is 130287559. The next prime is 130287581. The reversal of 130287564 is 465782031.

130287564 is a `hidden beast` number, since 13 + 0 + 2 + 87 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 164109 + ... + 164900.

It is an arithmetic number, because the mean of its divisors is an integer number (9979970).

Almost surely, 2130287564 is an apocalyptic number.

It is an amenable number.

130287564 is an abundant number, since it is smaller than the sum of its proper divisors (228991356).

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

130287564 is a wasteful number, since it uses less digits than its factorization.

130287564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329030 (or 329025 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 130287564 is about 11414.3578005948. The cubic root of 130287564 is about 506.9529501289.

The spelling of 130287564 in words is "one hundred thirty million, two hundred eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 329009 658018 987027 1316036 1974054 2961081 3619099 3948108 5922162 7238198 10857297 11844324 14476396 21714594 32571891 43429188 65143782 130287564