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115334256 = 243171943173
BaseRepresentation
bin1101101111111…
…01110001110000
322001000120212010
412313331301300
5214011144011
615240002520
72600216322
oct667756160
9261016763
10115334256
115a115374
1232760440
131ab8232b
1411463612
15a1d31a6
hex6dfdc70

115334256 has 160 divisors (see below), whose sum is σ = 341763840. Its totient is φ = 33288192.

The previous prime is 115334251. The next prime is 115334257. The reversal of 115334256 is 652433511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115334251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666586 + ... + 666758.

It is an arithmetic number, because the mean of its divisors is an integer number (2136024).

Almost surely, 2115334256 is an apocalyptic number.

115334256 is a gapful number since it is divisible by the number (16) 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 115334256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881920).

115334256 is an abundant number, since it is smaller than the sum of its proper divisors (226429584).

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

115334256 is a wasteful number, since it uses less digits than its factorization.

115334256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 115334256 is about 10739.3787529819. The cubic root of 115334256 is about 486.7651075859.

Adding to 115334256 its reverse (652433511), we get a palindrome (767767767).

The spelling of 115334256 in words is "one hundred fifteen million, three hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 43 48 51 57 68 76 86 102 114 129 136 152 172 173 204 228 258 272 304 323 344 346 408 456 516 519 646 688 692 731 816 817 912 969 1032 1038 1292 1384 1462 1634 1938 2064 2076 2193 2451 2584 2768 2924 2941 3268 3287 3876 4152 4386 4902 5168 5848 5882 6536 6574 7439 7752 8304 8772 8823 9804 9861 11696 11764 13072 13148 13889 14878 15504 17544 17646 19608 19722 22317 23528 26296 27778 29756 35088 35292 39216 39444 41667 44634 47056 52592 55556 55879 59512 70584 78888 83334 89268 111112 111758 119024 126463 141168 141341 157776 166668 167637 178536 222224 223516 252926 282682 333336 335274 357072 379389 424023 447032 505852 565364 666672 670548 758778 848046 894064 1011704 1130728 1341096 1517556 1696092 2023408 2261456 2402797 2682192 3035112 3392184 4805594 6070224 6784368 7208391 9611188 14416782 19222376 28833564 38444752 57667128 115334256