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115387152 = 2431926659
BaseRepresentation
bin1101110000010…
…10101100010000
322001010021102020
412320022230100
5214014342102
615241051440
72600526456
oct670125420
9261107366
10115387152
115a151091
1232786b80
131aba042a
14114789d6
15a1e3bbc
hex6e0ab10

115387152 has 60 divisors (see below), whose sum is σ = 314645040. Its totient is φ = 36432576.

The previous prime is 115387121. The next prime is 115387229. The reversal of 115387152 is 251783511.

It is a super-2 number, since 2×1153871522 = 26628389693342208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13999 + ... + 20657.

It is an arithmetic number, because the mean of its divisors is an integer number (5244084).

Almost surely, 2115387152 is an apocalyptic number.

115387152 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 115387152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157322520).

115387152 is an abundant number, since it is smaller than the sum of its proper divisors (199257888).

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

115387152 is a wasteful number, since it uses less digits than its factorization.

115387152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6683 counting only the distinct ones).

The product of its digits is 8400, while the sum is 33.

The square root of 115387152 is about 10741.8411829630. The cubic root of 115387152 is about 486.8395115914.

The spelling of 115387152 in words is "one hundred fifteen million, three hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 4332 5776 6659 8664 13318 17328 19977 26636 39954 53272 79908 106544 126521 159816 253042 319632 379563 506084 759126 1012168 1518252 2024336 2403899 3036504 4807798 6073008 7211697 9615596 14423394 19231192 28846788 38462384 57693576 115387152