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130933664 = 2523414339
BaseRepresentation
bin1111100110111…
…10001110100000
3100010101010012222
413303132032200
5232004334124
620554210212
73146626541
oct763361640
9303333188
10130933664
11679aa444
1237a23968
1321184754
14135644c8
15b76525e
hex7cde3a0

130933664 has 48 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 61079040.

The previous prime is 130933661. The next prime is 130933679. The reversal of 130933664 is 466339031.

It is not an unprimeable number, because it can be changed into a prime (130933661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28007 + ... + 32345.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2130933664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130933664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

130933664 is an abundant number, since it is smaller than the sum of its proper divisors (144673696).

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

130933664 is a wasteful number, since it uses less digits than its factorization.

130933664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 130933664 is about 11442.6248736905. The cubic root of 130933664 is about 507.7895670887.

The spelling of 130933664 in words is "one hundred thirty million, nine hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1886 3772 4339 7544 8678 15088 17356 30176 34712 69424 99797 138848 177899 199594 355798 399188 711596 798376 1423192 1596752 2846384 3193504 4091677 5692768 8183354 16366708 32733416 65466832 130933664