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117085320 = 233251129567
BaseRepresentation
bin1101111101010…
…01010010001000
322011022112212100
412332221102020
5214433212240
615341313400
72621131422
oct676512210
9264275770
10117085320
1160100a30
1233265860
131b346371
141179b812
15a42be30
hex6fa9488

117085320 has 96 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 28383360.

The previous prime is 117085303. The next prime is 117085349. The reversal of 117085320 is 23580711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10824 + ... + 18743.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2117085320 is an apocalyptic number.

117085320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117085320 is an abundant number, since it is smaller than the sum of its proper divisors (298049400).

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

117085320 is a wasteful number, since it uses less digits than its factorization.

117085320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29595 (or 29588 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117085320 is about 10820.5970260425. The cubic root of 117085320 is about 489.2161840363.

The spelling of 117085320 in words is "one hundred seventeen million, eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 29567 59134 88701 118268 147835 177402 236536 266103 295670 325237 354804 443505 532206 591340 650474 709608 887010 975711 1064412 1182680 1300948 1330515 1626185 1774020 1951422 2128824 2601896 2661030 2927133 3252370 3548040 3902844 4878555 5322060 5854266 6504740 7805688 9757110 10644120 11708532 13009480 14635665 19514220 23417064 29271330 39028440 58542660 117085320