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115463232 = 263422273
BaseRepresentation
bin1101110000111…
…01010001000000
322001021010210000
412320131101000
5214024310412
615242440000
72601264333
oct670352100
9261233700
10115463232
115a1a3265
1232803000
131abc8c51
141149861a
15a20b4dc
hex6e1d440

115463232 has 70 divisors (see below), whose sum is σ = 342284558. Its totient is φ = 38486016.

The previous prime is 115463221. The next prime is 115463261. The reversal of 115463232 is 232364511.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 54997056 = 7776^2 + 7416^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115463196 and 115463205.

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 9 ways as a sum of consecutive naturals, for example, 5953 + ... + 16320.

Almost surely, 2115463232 is an apocalyptic number.

115463232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115463232 is an abundant number, since it is smaller than the sum of its proper divisors (226821326).

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

115463232 is an equidigital number, since it uses as much as digits as its factorization.

115463232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22297 (or 22278 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 115463232 is about 10745.3818917710. The cubic root of 115463232 is about 486.9464865649.

The spelling of 115463232 in words is "one hundred fifteen million, four hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 22273 44546 66819 89092 133638 178184 200457 267276 356368 400914 534552 601371 712736 801828 1069104 1202742 1425472 1603656 1804113 2138208 2405484 3207312 3608226 4276416 4810968 6414624 7216452 9621936 12829248 14432904 19243872 28865808 38487744 57731616 115463232