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117306368 = 210971181
BaseRepresentation
bin1101111110111…
…11010000000000
322011201210002022
412333133100000
5220012300433
615350141012
72623042034
oct677372000
9264653068
10117306368
1160242013
1233351768
131b3c2b6a
14118181c4
15a472698
hex6fdf400

117306368 has 44 divisors (see below), whose sum is σ = 237116292. Its totient is φ = 57999360.

The previous prime is 117306257. The next prime is 117306377. The reversal of 117306368 is 863603711.

It can be written as a sum of positive squares in 2 ways, for example, as 83759104 + 33547264 = 9152^2 + 5792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98738 + ... + 99918.

Almost surely, 2117306368 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 117306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118558146).

117306368 is an abundant number, since it is smaller than the sum of its proper divisors (119809924).

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

117306368 is an equidigital number, since it uses as much as digits as its factorization.

117306368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 117306368 is about 10830.8064335025. The cubic root of 117306368 is about 489.5238578958.

The spelling of 117306368 in words is "one hundred seventeen million, three hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1181 1552 2362 3104 4724 6208 9448 12416 18896 24832 37792 49664 75584 99328 114557 151168 229114 302336 458228 604672 916456 1209344 1832912 3665824 7331648 14663296 29326592 58653184 117306368