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130853888 = 2101111617
BaseRepresentation
bin1111100110010…
…10110000000000
3100010020001210022
413303022300000
5231444311023
620552353012
73146145134
oct763126000
9303201708
10130853888
1167955510
12379a5768
1321157349
14135433c4
15b74b7c8
hex7ccac00

130853888 has 44 divisors (see below), whose sum is σ = 285384552. Its totient is φ = 59473920.

The previous prime is 130853869. The next prime is 130853903. The reversal of 130853888 is 888358031.

It is a tau number, because it is divible by the number of its divisors (44).

It is a Harshad number since it is a multiple of its sum of digits (44).

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 3 ways as a sum of consecutive naturals, for example, 5456 + ... + 17072.

Almost surely, 2130853888 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 130853888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142692276).

130853888 is an abundant number, since it is smaller than the sum of its proper divisors (154530664).

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

130853888 is a wasteful number, since it uses less digits than its factorization.

130853888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 130853888 is about 11439.1384290951. The cubic root of 130853888 is about 507.6864165077.

The spelling of 130853888 in words is "one hundred thirty million, eight hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 11617 23234 46468 92936 127787 185872 255574 371744 511148 743488 1022296 1486976 2044592 2973952 4089184 5947904 8178368 11895808 16356736 32713472 65426944 130853888