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130455576 = 2333619901
BaseRepresentation
bin1111100011010…
…01100000011000
3100002110211102000
413301221200120
5231344034301
620540041000
73142565646
oct761514030
9302424360
10130455576
1167703229
1237833160
1321047c64
141347c196
15b6bd786
hex7c69818

130455576 has 64 divisors (see below), whose sum is σ = 368354400. Its totient is φ = 42768000.

The previous prime is 130455571. The next prime is 130455587. The reversal of 130455576 is 675554031.

130455576 is a `hidden beast` number, since 1 + 30 + 4 + 55 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130455576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130455571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8226 + ... + 18126.

Almost surely, 2130455576 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 130455576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184177200).

130455576 is an abundant number, since it is smaller than the sum of its proper divisors (237898824).

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

130455576 is a wasteful number, since it uses less digits than its factorization.

130455576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9977 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 130455576 is about 11421.7151076360. The cubic root of 130455576 is about 507.1707698261.

The spelling of 130455576 in words is "one hundred thirty million, four hundred fifty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 9901 13176 19802 29703 39604 59406 79208 89109 118812 178218 237624 267327 356436 534654 603961 712872 1069308 1207922 1811883 2138616 2415844 3623766 4831688 5435649 7247532 10871298 14495064 16306947 21742596 32613894 43485192 65227788 130455576