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116054568 = 23327409563
BaseRepresentation
bin1101110101011…
…01101000101000
322002101011221100
412322231220220
5214202221233
615303241400
72606306340
oct672555050
9262334840
10116054568
115a567573
1232a49260
131b075156
14115add20
15a2c6813
hex6eada28

116054568 has 96 divisors (see below), whose sum is σ = 360734400. Its totient is φ = 33018624.

The previous prime is 116054539. The next prime is 116054569. The reversal of 116054568 is 865450611.

116054568 is a `hidden beast` number, since 1 + 1 + 605 + 45 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116054569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205855 + ... + 206417.

It is an arithmetic number, because the mean of its divisors is an integer number (3757650).

Almost surely, 2116054568 is an apocalyptic number.

116054568 is a gapful number since it is divisible by the number (18) 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 116054568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180367200).

116054568 is an abundant number, since it is smaller than the sum of its proper divisors (244679832).

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

116054568 is a wasteful number, since it uses less digits than its factorization.

116054568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 116054568 is about 10772.8625722229. The cubic root of 116054568 is about 487.7763577051.

The spelling of 116054568 in words is "one hundred sixteen million, fifty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 409 504 563 818 1126 1227 1636 1689 2252 2454 2863 3272 3378 3681 3941 4504 4908 5067 5726 6756 7362 7882 8589 9816 10134 11452 11823 13512 14724 15764 17178 20268 22904 23646 25767 29448 31528 34356 35469 40536 47292 51534 68712 70938 94584 103068 141876 206136 230267 283752 460534 690801 921068 1381602 1611869 1842136 2072403 2763204 3223738 4144806 4835607 5526408 6447476 8289612 9671214 12894952 14506821 16579224 19342428 29013642 38684856 58027284 116054568