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117596920 = 23571273307
BaseRepresentation
bin1110000001001…
…10001011111000
322012021112122111
413000212023320
5220101100140
615400302104
72625362110
oct700461370
9265245574
10117596920
1160420341
1233471934
131b49519c
1411892040
15a4cd7ea
hex70262f8

117596920 has 64 divisors (see below), whose sum is σ = 304865280. Its totient is φ = 39989376.

The previous prime is 117596911. The next prime is 117597013. The reversal of 117596920 is 29695711.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33907 + ... + 37213.

It is an arithmetic number, because the mean of its divisors is an integer number (4763520).

Almost surely, 2117596920 is an apocalyptic number.

117596920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117596920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152432640).

117596920 is an abundant number, since it is smaller than the sum of its proper divisors (187268360).

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

117596920 is a wasteful number, since it uses less digits than its factorization.

117596920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 117596920 is about 10844.2113590616. The cubic root of 117596920 is about 489.9276861215.

The spelling of 117596920 in words is "one hundred seventeen million, five hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3307 3556 4445 5080 6614 7112 8890 13228 16535 17780 23149 26456 33070 35560 46298 66140 92596 115745 132280 185192 231490 419989 462980 839978 925960 1679956 2099945 2939923 3359912 4199890 5879846 8399780 11759692 14699615 16799560 23519384 29399230 58798460 117596920