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116815536 = 24321575167
BaseRepresentation
bin1101111011001…
…11011010110000
322010210211210100
412331213122300
5214401044121
615331432400
72615626035
oct675473260
9263724710
10116815536
115aa37272
1233155700
131b280626
141172b38c
15a3c7026
hex6f676b0

116815536 has 60 divisors (see below), whose sum is σ = 329067232. Its totient is φ = 38683008.

The previous prime is 116815513. The next prime is 116815537. The reversal of 116815536 is 635518611.

116815536 is a `hidden beast` number, since 116 + 8 + 1 + 5 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116815536.

It is not an unprimeable number, because it can be changed into a prime (116815537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20025 + ... + 25191.

Almost surely, 2116815536 is an apocalyptic number.

116815536 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 116815536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164533616).

116815536 is an abundant number, since it is smaller than the sum of its proper divisors (212251696).

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

116815536 is a wasteful number, since it uses less digits than its factorization.

116815536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5329 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 116815536 is about 10808.1236114323. The cubic root of 116815536 is about 488.8401499928.

The spelling of 116815536 in words is "one hundred sixteen million, eight hundred fifteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5167 5652 7536 10334 11304 15501 20668 22608 31002 41336 46503 62004 82672 93006 124008 186012 248016 372024 744048 811219 1622438 2433657 3244876 4867314 6489752 7300971 9734628 12979504 14601942 19469256 29203884 38938512 58407768 116815536