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117564704 = 2519210177
BaseRepresentation
bin1110000000111…
…10010100100000
322012012220110022
413000132110200
5220044032304
615355453012
72625166145
oct700362440
9265186408
10117564704
11603a9114
1233457168
131b48361a
14118843cc
15a4c3ebe
hex701e520

117564704 has 36 divisors (see below), whose sum is σ = 244302534. Its totient is φ = 55683072.

The previous prime is 117564703. The next prime is 117564731. The reversal of 117564704 is 407465711.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 93161104 + 24403600 = 9652^2 + 4940^2 .

It is not an unprimeable number, because it can be changed into a prime (117564701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6464 + ... + 16640.

Almost surely, 2117564704 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 117564704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122151267).

117564704 is an abundant number, since it is smaller than the sum of its proper divisors (126737830).

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

117564704 is a wasteful number, since it uses less digits than its factorization.

117564704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225 (or 10198 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 117564704 is about 10842.7258565363. The cubic root of 117564704 is about 489.8829430226.

The spelling of 117564704 in words is "one hundred seventeen million, five hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 10177 11552 20354 40708 81416 162832 193363 325664 386726 773452 1546904 3093808 3673897 6187616 7347794 14695588 29391176 58782352 117564704