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116859160 = 23511349761
BaseRepresentation
bin1101111011100…
…10000100011000
322010220001122001
412331302010120
5214403443120
615332410344
72616200155
oct675620430
9263801561
10116859160
115aa67020
12331769b4
131b297442
141173d22c
15a3d4e0a
hex6f72118

116859160 has 64 divisors (see below), whose sum is σ = 288036000. Its totient is φ = 42316800.

The previous prime is 116859151. The next prime is 116859161. The reversal of 116859160 is 61958611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116859161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 153180 + ... + 153940.

Almost surely, 2116859160 is an apocalyptic number.

116859160 is a gapful number since it is divisible by the number (10) 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 116859160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018000).

116859160 is an abundant number, since it is smaller than the sum of its proper divisors (171176840).

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

116859160 is a wasteful number, since it uses less digits than its factorization.

116859160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 116859160 is about 10810.1415346886. The cubic root of 116859160 is about 488.9009938080.

The spelling of 116859160 in words is "one hundred sixteen million, eight hundred fifty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 349 440 698 761 1396 1522 1745 2792 3044 3490 3805 3839 6088 6980 7610 7678 8371 13960 15220 15356 16742 19195 30440 30712 33484 38390 41855 66968 76780 83710 153560 167420 265589 334840 531178 1062356 1327945 2124712 2655890 2921479 5311780 5842958 10623560 11685916 14607395 23371832 29214790 58429580 116859160