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117992064 = 2731092819
BaseRepresentation
bin1110000100001…
…10101010000000
322020000121200110
413002012222000
5220201221224
615412551320
72631626121
oct702065200
9266017613
10117992064
1160670203
1233622540
131b5a2cb8
1411956048
15a55a929
hex7086a80

117992064 has 64 divisors (see below), whose sum is σ = 316404000. Its totient is φ = 38956032.

The previous prime is 117992059. The next prime is 117992081. The reversal of 117992064 is 460299711.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40447 + ... + 43265.

Almost surely, 2117992064 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 117992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158202000).

117992064 is an abundant number, since it is smaller than the sum of its proper divisors (198411936).

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

117992064 is a wasteful number, since it uses less digits than its factorization.

117992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 117992064 is about 10862.4152010499. The cubic root of 117992064 is about 490.4758171337.

The spelling of 117992064 in words is "one hundred seventeen million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 2819 3488 5232 5638 6976 8457 10464 11276 13952 16914 20928 22552 33828 41856 45104 67656 90208 135312 180416 270624 307271 360832 541248 614542 921813 1082496 1229084 1843626 2458168 3687252 4916336 7374504 9832672 14749008 19665344 29498016 39330688 58996032 117992064