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116092536 = 23371036709
BaseRepresentation
bin1101110101101…
…10111001111000
322002110010000120
412322312321320
5214204430121
615304133240
72606525130
oct672667170
9262403016
10116092536
115a59304a
1232a67220
131b089511
14115bdac0
15a2d2bc6
hex6eb6e78

116092536 has 64 divisors (see below), whose sum is σ = 334963200. Its totient is φ = 32842368.

The previous prime is 116092519. The next prime is 116092547. The reversal of 116092536 is 635290611.

It is a happy number.

It is a super-2 number, since 2×1160925362 = 26954953829822592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116092497 and 116092506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13950 + ... + 20658.

It is an arithmetic number, because the mean of its divisors is an integer number (5233800).

Almost surely, 2116092536 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 116092536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167481600).

116092536 is an abundant number, since it is smaller than the sum of its proper divisors (218870664).

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

116092536 is a wasteful number, since it uses less digits than its factorization.

116092536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 116092536 is about 10774.6246338330. The cubic root of 116092536 is about 487.8295449652.

The spelling of 116092536 in words is "one hundred sixteen million, ninety-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1236 1442 2163 2472 2884 4326 5768 6709 8652 13418 17304 20127 26836 40254 46963 53672 80508 93926 140889 161016 187852 281778 375704 563556 691027 1127112 1382054 2073081 2764108 4146162 4837189 5528216 8292324 9674378 14511567 16584648 19348756 29023134 38697512 58046268 116092536