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130884264 = 23327259691
BaseRepresentation
bin1111100110100…
…10001010101000
3100010021121110100
413303102022220
5232001244024
620553145400
73146332530
oct763221250
9303247410
10130884264
1167976315
12379bb260
1321168114
14135504c0
15b7557c9
hex7cd22a8

130884264 has 48 divisors (see below), whose sum is σ = 405119520. Its totient is φ = 37395360.

The previous prime is 130884227. The next prime is 130884289. The reversal of 130884264 is 462488031.

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, 129342 + ... + 130349.

It is an arithmetic number, because the mean of its divisors is an integer number (8439990).

Almost surely, 2130884264 is an apocalyptic number.

130884264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130884264 is an abundant number, since it is smaller than the sum of its proper divisors (274235256).

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

130884264 is a wasteful number, since it uses less digits than its factorization.

130884264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259710 (or 259703 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 130884264 is about 11440.4660744220. The cubic root of 130884264 is about 507.7256976980.

The spelling of 130884264 in words is "one hundred thirty million, eight hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 259691 519382 779073 1038764 1558146 1817837 2077528 2337219 3116292 3635674 4674438 5453511 6232584 7271348 9348876 10907022 14542696 16360533 18697752 21814044 32721066 43628088 65442132 130884264