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115130952 = 23324143907
BaseRepresentation
bin1101101110011…
…00001001001000
322000122020222100
412313030021020
5213433142302
615231353400
72565411516
oct667141110
9260566870
10115130952
1159a96652
1232682860
131ab10931
141140d4b6
15a192d1c
hex6dcc248

115130952 has 96 divisors (see below), whose sum is σ = 327206880. Its totient is φ = 36529920.

The previous prime is 115130933. The next prime is 115130963. The reversal of 115130952 is 259031511.

115130952 = 183 + 193 + ... + 1463.

It is a super-2 number, since 2×1151309522 = 26510272216852608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126483 + ... + 127389.

It is an arithmetic number, because the mean of its divisors is an integer number (3408405).

Almost surely, 2115130952 is an apocalyptic number.

115130952 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 115130952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163603440).

115130952 is an abundant number, since it is smaller than the sum of its proper divisors (212075928).

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

115130952 is a wasteful number, since it uses less digits than its factorization.

115130952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 115130952 is about 10729.9092260839. The cubic root of 115130952 is about 486.4789263550.

The spelling of 115130952 in words is "one hundred fifteen million, one hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 43 72 82 86 123 129 164 172 246 258 328 344 369 387 492 516 738 774 907 984 1032 1476 1548 1763 1814 2721 2952 3096 3526 3628 5289 5442 7052 7256 8163 10578 10884 14104 15867 16326 21156 21768 31734 32652 37187 39001 42312 63468 65304 74374 78002 111561 117003 126936 148748 156004 223122 234006 297496 312008 334683 351009 446244 468012 669366 702018 892488 936024 1338732 1404036 1599041 2677464 2808072 3198082 4797123 6396164 9594246 12792328 14391369 19188492 28782738 38376984 57565476 115130952