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116165824 = 2623531489
BaseRepresentation
bin1101110110010…
…00110011000000
322002120211112221
412323020303000
5214214301244
615305500424
72610251605
oct673106300
9262524487
10116165824
115a633115
1232aa1714
131b0b3998
14115dc6ac
15a2e9784
hex6ec8cc0

116165824 has 56 divisors (see below), whose sum is σ = 245242080. Its totient is φ = 54472704.

The previous prime is 116165813. The next prime is 116165827. The reversal of 116165824 is 428561611.

It is a self number, because there is not a number n which added to its sum of digits gives 116165824.

It is not an unprimeable number, because it can be changed into a prime (116165827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77272 + ... + 78760.

Almost surely, 2116165824 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 116165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122621040).

116165824 is an abundant number, since it is smaller than the sum of its proper divisors (129076256).

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

116165824 is a wasteful number, since it uses less digits than its factorization.

116165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 116165824 is about 10778.0250510008. The cubic root of 116165824 is about 487.9321772625.

The spelling of 116165824 in words is "one hundred sixteen million, one hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 184 212 368 424 736 848 1219 1472 1489 1696 2438 2978 3392 4876 5956 9752 11912 19504 23824 34247 39008 47648 68494 78016 78917 95296 136988 157834 273976 315668 547952 631336 1095904 1262672 1815091 2191808 2525344 3630182 5050688 7260364 14520728 29041456 58082912 116165824