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117972120 = 23357140443
BaseRepresentation
bin1110000100000…
…01110010011000
322012222121022210
413002001302120
5220200101440
615412315120
72631514020
oct702016230
9265877283
10117972120
1160657222
1233612aa0
131b596bb6
141194ca80
15a554a80
hex7081c98

117972120 has 64 divisors (see below), whose sum is σ = 404478720. Its totient is φ = 26964864.

The previous prime is 117972103. The next prime is 117972131. The reversal of 117972120 is 21279711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 69382 + ... + 71061.

It is an arithmetic number, because the mean of its divisors is an integer number (6319980).

Almost surely, 2117972120 is an apocalyptic number.

117972120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117972120 is an abundant number, since it is smaller than the sum of its proper divisors (286506600).

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

117972120 is a wasteful number, since it uses less digits than its factorization.

117972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140464 (or 140460 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 117972120 is about 10861.4971343733. The cubic root of 117972120 is about 490.4481808092.

The spelling of 117972120 in words is "one hundred seventeen million, nine hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 140443 280886 421329 561772 702215 842658 983101 1123544 1404430 1685316 1966202 2106645 2808860 2949303 3370632 3932404 4213290 4915505 5617720 5898606 7864808 8426580 9831010 11797212 14746515 16853160 19662020 23594424 29493030 39324040 58986060 117972120