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115985856 = 2637211409
BaseRepresentation
bin1101110100111…
…00110111000000
322002020200200110
412322130313000
5214143021411
615301551320
72605602120
oct672346700
9262220613
10115985856
115a51a988
1232a15540
131b04caac
1411592c80
15a2b12a6
hex6e9cdc0

115985856 has 112 divisors (see below), whose sum is σ = 353242880. Its totient is φ = 32901120.

The previous prime is 115985851. The next prime is 115985867. The reversal of 115985856 is 658589511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115985851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283380 + ... + 283788.

Almost surely, 2115985856 is an apocalyptic number.

115985856 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 115985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176621440).

115985856 is an abundant number, since it is smaller than the sum of its proper divisors (237257024).

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

115985856 is a wasteful number, since it uses less digits than its factorization.

115985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 632 counting only the distinct ones).

The product of its digits is 432000, while the sum is 48.

The square root of 115985856 is about 10769.6729755364. The cubic root of 115985856 is about 487.6800733840.

The spelling of 115985856 in words is "one hundred fifteen million, nine hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 211 224 336 409 422 448 633 672 818 844 1227 1266 1344 1477 1636 1688 2454 2532 2863 2954 3272 3376 4431 4908 5064 5726 5908 6544 6752 8589 8862 9816 10128 11452 11816 13088 13504 17178 17724 19632 20256 22904 23632 26176 34356 35448 39264 40512 45808 47264 68712 70896 78528 86299 91616 94528 137424 141792 172598 183232 258897 274848 283584 345196 517794 549696 604093 690392 1035588 1208186 1380784 1812279 2071176 2416372 2761568 3624558 4142352 4832744 5523136 7249116 8284704 9665488 14498232 16569408 19330976 28996464 38661952 57992928 115985856