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115232832 = 263211131399
BaseRepresentation
bin1101101111001…
…01000001000000
322000211102201200
412313211001000
5213444422312
615233501200
72566314531
oct667450100
9260742650
10115232832
115a056150
1232711800
131ab48110
1411438688
15a1b30dc
hex6de5040

115232832 has 168 divisors, whose sum is σ = 388315200. Its totient is φ = 32209920.

The previous prime is 115232813. The next prime is 115232833. The reversal of 115232832 is 238232511.

It is a junction number, because it is equal to n+sod(n) for n = 115232796 and 115232805.

It is not an unprimeable number, because it can be changed into a prime (115232833) 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 23 ways as a sum of consecutive naturals, for example, 81669 + ... + 83067.

It is an arithmetic number, because the mean of its divisors is an integer number (2311400).

Almost surely, 2115232832 is an apocalyptic number.

115232832 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 115232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194157600).

115232832 is an abundant number, since it is smaller than the sum of its proper divisors (273082368).

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

115232832 is a wasteful number, since it uses less digits than its factorization.

115232832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1428 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 115232832 is about 10734.6556535364. The cubic root of 115232832 is about 486.6223799904.

The spelling of 115232832 in words is "one hundred fifteen million, two hundred thirty-two thousand, eight hundred thirty-two".