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130618944 = 2632226769
BaseRepresentation
bin1111100100100…
…01011001000000
3100002210010111200
413302101121000
5231414301234
620543341200
73144146151
oct762213100
9302703450
10130618944
1167804a45
12378b1800
13210a4421
14134c1928
15b701d99
hex7c91640

130618944 has 42 divisors (see below), whose sum is σ = 374397270. Its totient is φ = 43539456.

The previous prime is 130618931. The next prime is 130618963. The reversal of 130618944 is 449816031.

130618944 is a `hidden beast` number, since 1 + 30 + 618 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 47444544 = 9120^2 + 6888^2 .

It is a super-2 number, since 2×1306189442 = 34122617063350272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130618899 and 130618908.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 112809 + ... + 113960.

Almost surely, 2130618944 is an apocalyptic number.

It is an amenable number.

130618944 is an abundant number, since it is smaller than the sum of its proper divisors (243778326).

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

130618944 is a wasteful number, since it uses less digits than its factorization.

130618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226787 (or 226774 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 130618944 is about 11428.8645105277. The cubic root of 130618944 is about 507.3823895325.

The spelling of 130618944 in words is "one hundred thirty million, six hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 226769 453538 680307 907076 1360614 1814152 2040921 2721228 3628304 4081842 5442456 7256608 8163684 10884912 14513216 16327368 21769824 32654736 43539648 65309472 130618944