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117045040 = 2457474447
BaseRepresentation
bin1101111100111…
…11011100110000
322011020111121111
412332133130300
5214430420130
615340403104
72620603120
oct676373460
9264214544
10117045040
1160083742
1233246494
131b330c28
141178ac80
15a42002a
hex6f9f730

117045040 has 80 divisors (see below), whose sum is σ = 317693952. Its totient is φ = 39267072.

The previous prime is 117044971. The next prime is 117045077. The reversal of 117045040 is 40540711.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24097 + ... + 28543.

Almost surely, 2117045040 is an apocalyptic number.

117045040 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 117045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158846976).

117045040 is an abundant number, since it is smaller than the sum of its proper divisors (200648912).

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

117045040 is a wasteful number, since it uses less digits than its factorization.

117045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 117045040 is about 10818.7356007992. The cubic root of 117045040 is about 489.1600771220.

Adding to 117045040 its reverse (40540711), we get a palindrome (157585751).

The spelling of 117045040 in words is "one hundred seventeen million, forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 4447 5264 6580 8894 13160 17788 22235 26320 31129 35576 44470 62258 71152 88940 124516 155645 177880 209009 249032 311290 355760 418018 498064 622580 836036 1045045 1245160 1463063 1672072 2090090 2490320 2926126 3344144 4180180 5852252 7315315 8360360 11704504 14630630 16720720 23409008 29261260 58522520 117045040