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116996120 = 23543251271
BaseRepresentation
bin1101111100100…
…11100000011000
322011011000111122
412332103200120
5214422333440
615335344412
72620310363
oct676234030
9264130448
10116996120
116004aa0a
1233222108
131b314897
14117770da
15a4107b5
hex6f93818

116996120 has 64 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 45360000.

The previous prime is 116996111. The next prime is 116996149. The reversal of 116996120 is 21699611.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 431585 + ... + 431855.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2116996120 is an apocalyptic number.

116996120 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 116996120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

116996120 is an abundant number, since it is smaller than the sum of its proper divisors (154438120).

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

116996120 is a wasteful number, since it uses less digits than its factorization.

116996120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 116996120 is about 10816.4744718416. The cubic root of 116996120 is about 489.0919180452.

The spelling of 116996120 in words is "one hundred sixteen million, nine hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 251 271 344 430 502 542 860 1004 1084 1255 1355 1720 2008 2168 2510 2710 5020 5420 10040 10793 10840 11653 21586 23306 43172 46612 53965 58265 68021 86344 93224 107930 116530 136042 215860 233060 272084 340105 431720 466120 544168 680210 1360420 2720840 2924903 5849806 11699612 14624515 23399224 29249030 58498060 116996120