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116199168 = 283712131
BaseRepresentation
bin1101110110100…
…00111100000000
322002122112021220
412323100330000
5214221333133
615310315040
72610451041
oct673207400
9262575256
10116199168
115a656178
1232ab8a80
131b0c5c07
141160a8c8
15a3045b3
hex6ed0f00

116199168 has 72 divisors (see below), whose sum is σ = 313762176. Its totient is φ = 38169600.

The previous prime is 116199163. The next prime is 116199169. The reversal of 116199168 is 861991611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116199163) 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, 53463 + ... + 55593.

It is an arithmetic number, because the mean of its divisors is an integer number (4357808).

Almost surely, 2116199168 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 116199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156881088).

116199168 is an abundant number, since it is smaller than the sum of its proper divisors (197563008).

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

116199168 is an equidigital number, since it uses as much as digits as its factorization.

116199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2207 counting only the distinct ones).

The product of its digits is 23328, while the sum is 42.

The square root of 116199168 is about 10779.5717911242. The cubic root of 116199168 is about 487.9788578138.

The spelling of 116199168 in words is "one hundred sixteen million, one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1136 1704 2131 2272 3408 4262 4544 6393 6816 8524 9088 12786 13632 17048 18176 25572 27264 34096 51144 54528 68192 102288 136384 151301 204576 272768 302602 409152 453903 545536 605204 818304 907806 1210408 1636608 1815612 2420816 3631224 4841632 7262448 9683264 14524896 19366528 29049792 38733056 58099584 116199168