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115392992 = 251113151167
BaseRepresentation
bin1101110000011…
…00000111100000
322001010120102112
412320030013200
5214020033432
615241134452
72600552501
oct670140740
9261116375
10115392992
115a155510
123278a428
131aba2ca0
141147aba8
15a1e57b2
hex6e0c1e0

115392992 has 96 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 47808000.

The previous prime is 115392989. The next prime is 115392997. The reversal of 115392992 is 299293511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115392997) 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 15 ways as a sum of consecutive naturals, for example, 690893 + ... + 691059.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2115392992 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 115392992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

115392992 is an abundant number, since it is smaller than the sum of its proper divisors (154880032).

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

115392992 is a wasteful number, since it uses less digits than its factorization.

115392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 43740, while the sum is 41.

The square root of 115392992 is about 10742.1130137418. The cubic root of 115392992 is about 486.8477247957.

The spelling of 115392992 in words is "one hundred fifteen million, three hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 151 167 176 208 286 302 334 352 416 572 604 668 1144 1208 1336 1661 1837 1963 2171 2288 2416 2672 3322 3674 3926 4342 4576 4832 5344 6644 7348 7852 8684 13288 14696 15704 17368 21593 23881 25217 26576 29392 31408 34736 43186 47762 50434 53152 58784 62816 69472 86372 95524 100868 172744 191048 201736 277387 327821 345488 382096 403472 554774 655642 690976 764192 806944 1109548 1311284 2219096 2622568 3606031 4438192 5245136 7212062 8876384 10490272 14424124 28848248 57696496 115392992