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117980160 = 210357681
BaseRepresentation
bin1110000100000…
…11110000000000
322020000000100120
413002003300000
5220200331120
615412420240
72631546324
oct702036000
9266000316
10117980160
1160662271
1233617680
131b59a75c
1411951984
15a557140
hex7083c00

117980160 has 88 divisors (see below), whose sum is σ = 377401296. Its totient is φ = 31457280.

The previous prime is 117980147. The next prime is 117980167. The reversal of 117980160 is 61089711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117980167) 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, 11520 + ... + 19200.

Almost surely, 2117980160 is an apocalyptic number.

117980160 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 117980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188700648).

117980160 is an abundant number, since it is smaller than the sum of its proper divisors (259421136).

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

117980160 is an equidigital number, since it uses as much as digits as its factorization.

117980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 117980160 is about 10861.8672427903. The cubic root of 117980160 is about 490.4593221812.

The spelling of 117980160 in words is "one hundred seventeen million, nine hundred eighty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 7681 15360 15362 23043 30724 38405 46086 61448 76810 92172 115215 122896 153620 184344 230430 245792 307240 368688 460860 491584 614480 737376 921720 983168 1228960 1474752 1843440 1966336 2457920 2949504 3686880 3932672 4915840 5899008 7373760 7865344 9831680 11798016 14747520 19663360 23596032 29495040 39326720 58990080 117980160