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115031952 = 24327139821
BaseRepresentation
bin1101101101100…
…11111110010000
322000110020011200
412312303332100
5213422010302
615225311200
72564520060
oct666637620
9260406150
10115031952
1159a29232
1232635500
131aaa7859
14113c53a0
15a17381c
hex6db3f90

115031952 has 120 divisors (see below), whose sum is σ = 371017920. Its totient is φ = 32590080.

The previous prime is 115031933. The next prime is 115031977. The reversal of 115031952 is 259130511.

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, 139702 + ... + 140522.

It is an arithmetic number, because the mean of its divisors is an integer number (3091816).

Almost surely, 2115031952 is an apocalyptic number.

115031952 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 115031952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185508960).

115031952 is an abundant number, since it is smaller than the sum of its proper divisors (255985968).

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

115031952 is a wasteful number, since it uses less digits than its factorization.

115031952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 972 counting only the distinct ones).

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

The square root of 115031952 is about 10725.2949609789. The cubic root of 115031952 is about 486.3394468493.

The spelling of 115031952 in words is "one hundred fifteen million, thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 139 144 168 252 278 336 417 504 556 821 834 973 1008 1112 1251 1642 1668 1946 2224 2463 2502 2919 3284 3336 3892 4926 5004 5747 5838 6568 6672 7389 7784 8757 9852 10008 11494 11676 13136 14778 15568 17241 17514 19704 20016 22988 23352 29556 34482 35028 39408 45976 46704 51723 59112 68964 70056 91952 103446 114119 118224 137928 140112 206892 228238 275856 342357 413784 456476 684714 798833 827568 912952 1027071 1369428 1597666 1825904 2054142 2396499 2738856 3195332 4108284 4792998 5477712 6390664 7189497 8216568 9585996 12781328 14378994 16433136 19171992 28757988 38343984 57515976 115031952