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130872852 = 2232112314369
BaseRepresentation
bin1111100110011…
…11011000010100
3100010021000210200
413303033120110
5232000412402
620553020500
73146254335
oct763173024
9303230720
10130872852
1167968790
12379b4730
1321162b76
141354a28c
15b75221c
hex7ccf614

130872852 has 72 divisors (see below), whose sum is σ = 376608960. Its totient is φ = 37931520.

The previous prime is 130872827. The next prime is 130872857. The reversal of 130872852 is 258278031.

It is a super-2 number, since 2×1308728522 = 34255406781227808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130872857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924 + ... + 16292.

It is an arithmetic number, because the mean of its divisors is an integer number (5230680).

Almost surely, 2130872852 is an apocalyptic number.

130872852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130872852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188304480).

130872852 is an abundant number, since it is smaller than the sum of its proper divisors (245736108).

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

130872852 is a wasteful number, since it uses less digits than its factorization.

130872852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 130872852 is about 11439.9673076456. The cubic root of 130872852 is about 507.7109408080.

The spelling of 130872852 in words is "one hundred thirty million, eight hundred seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 14369 28738 43107 57476 86214 129321 158059 172428 258642 316118 330487 474177 517284 632236 660974 948354 991461 1321948 1422531 1896708 1982922 2845062 2974383 3635357 3965844 5690124 5948766 7270714 10906071 11897532 14541428 21812142 32718213 43624284 65436426 130872852