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116514576 = 24322927901
BaseRepresentation
bin1101111000111…
…01111100010000
322010020112221200
412330131330100
5214311431301
615321151200
72613233433
oct674357420
9263215850
10116514576
115a851142
123302b500
131b1a6649
141168d81a
15a367c86
hex6f1df10

116514576 has 60 divisors (see below), whose sum is σ = 337335180. Its totient is φ = 37497600.

The previous prime is 116514571. The next prime is 116514613. The reversal of 116514576 is 675415611.

It is a happy number.

116514576 is a `hidden beast` number, since 11 + 65 + 14 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86044176 + 30470400 = 9276^2 + 5520^2 .

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 116514576.

It is not an unprimeable number, because it can be changed into a prime (116514571) 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, 9775 + ... + 18126.

It is an arithmetic number, because the mean of its divisors is an integer number (5622253).

Almost surely, 2116514576 is an apocalyptic number.

116514576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116514576 is an abundant number, since it is smaller than the sum of its proper divisors (220820604).

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

116514576 is a wasteful number, since it uses less digits than its factorization.

116514576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27944 (or 27935 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 116514576 is about 10794.1917715038. The cubic root of 116514576 is about 488.4199779733.

The spelling of 116514576 in words is "one hundred sixteen million, five hundred fourteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 27901 55802 83703 111604 167406 223208 251109 334812 446416 502218 669624 809129 1004436 1339248 1618258 2008872 2427387 3236516 4017744 4854774 6473032 7282161 9709548 12946064 14564322 19419096 29128644 38838192 58257288 116514576