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116594856 = 23337591307
BaseRepresentation
bin1101111001100…
…01100010101000
322010101122002000
412330301202220
5214322013411
615323011000
72614016460
oct674614250
9263348060
10116594856
115a8a6494
1233069a60
131b204051
14116b0ba0
15a381956
hex6f318a8

116594856 has 128 divisors (see below), whose sum is σ = 376704000. Its totient is φ = 32723136.

The previous prime is 116594839. The next prime is 116594861. The reversal of 116594856 is 658495611.

116594856 is a `hidden beast` number, since 1 + 1 + 6 + 594 + 8 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88555 + ... + 89861.

It is an arithmetic number, because the mean of its divisors is an integer number (2943000).

Almost surely, 2116594856 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 116594856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188352000).

116594856 is an abundant number, since it is smaller than the sum of its proper divisors (260109144).

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

116594856 is a wasteful number, since it uses less digits than its factorization.

116594856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1378 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 116594856 is about 10797.9097977340. The cubic root of 116594856 is about 488.5321280440.

The spelling of 116594856 in words is "one hundred sixteen million, five hundred ninety-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 63 72 84 108 118 126 168 177 189 216 236 252 354 378 413 472 504 531 708 756 826 1062 1239 1307 1416 1512 1593 1652 2124 2478 2614 3186 3304 3717 3921 4248 4956 5228 6372 7434 7842 9149 9912 10456 11151 11763 12744 14868 15684 18298 22302 23526 27447 29736 31368 35289 36596 44604 47052 54894 70578 73192 77113 82341 89208 94104 109788 141156 154226 164682 219576 231339 247023 282312 308452 329364 462678 494046 539791 616904 658728 694017 925356 988092 1079582 1388034 1619373 1850712 1976184 2082051 2159164 2776068 3238746 4164102 4318328 4858119 5552136 6477492 8328204 9716238 12954984 14574357 16656408 19432476 29148714 38864952 58297428 116594856