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115960832 = 2101331281
BaseRepresentation
bin1101110100101…
…10110000000000
322002012102100122
412322112300000
5214141221312
615301235412
72605436141
oct672266000
9262172318
10115960832
115a5030a9
1232a02b68
131b0415a0
1411587ac8
15a2a8b72
hex6e96c00

115960832 has 88 divisors (see below), whose sum is σ = 258609792. Its totient is φ = 51609600.

The previous prime is 115960813. The next prime is 115960837. The reversal of 115960832 is 238069511.

It is a junction number, because it is equal to n+sod(n) for n = 115960792 and 115960801.

It is not an unprimeable number, because it can be changed into a prime (115960837) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 412532 + ... + 412812.

Almost surely, 2115960832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129304896).

115960832 is an abundant number, since it is smaller than the sum of its proper divisors (142648960).

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

115960832 is a wasteful number, since it uses less digits than its factorization.

115960832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 115960832 is about 10768.5111319996. The cubic root of 115960832 is about 487.6449984639.

The spelling of 115960832 in words is "one hundred fifteen million, nine hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 281 403 416 496 512 562 806 832 992 1024 1124 1612 1664 1984 2248 3224 3328 3653 3968 4496 6448 6656 7306 7936 8711 8992 12896 13312 14612 15872 17422 17984 25792 29224 31744 34844 35968 51584 58448 69688 71936 103168 113243 116896 139376 143872 206336 226486 233792 278752 287744 412672 452972 467584 557504 905944 935168 1115008 1811888 1870336 2230016 3623776 3740672 4460032 7247552 8920064 14495104 28990208 57980416 115960832