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117431640 = 23335227479
BaseRepresentation
bin1101111111111…
…01110101011000
322011222010221000
412333331311120
5220030303030
615352545000
72624103204
oct677756530
9264863830
10117431640
1160318147
12333b2160
131b437ba1
141184bb04
15a499860
hex6ffdd58

117431640 has 128 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 31112064.

The previous prime is 117431603. The next prime is 117431641. The reversal of 117431640 is 46134711.

It is a happy number.

117431640 is a `hidden beast` number, since 1 + 17 + 4 + 3 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117431641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244921 + ... + 245399.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2117431640 is an apocalyptic number.

117431640 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 117431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

117431640 is an abundant number, since it is smaller than the sum of its proper divisors (276552360).

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

117431640 is a wasteful number, since it uses less digits than its factorization.

117431640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 117431640 is about 10836.5880239123. The cubic root of 117431640 is about 489.6980508160.

The spelling of 117431640 in words is "one hundred seventeen million, four hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 227 270 360 454 479 540 681 908 958 1080 1135 1362 1437 1816 1916 2043 2270 2395 2724 2874 3405 3832 4086 4311 4540 4790 5448 5748 6129 6810 7185 8172 8622 9080 9580 10215 11496 12258 12933 13620 14370 16344 17244 19160 20430 21555 24516 25866 27240 28740 30645 34488 40860 43110 49032 51732 57480 61290 64665 81720 86220 103464 108733 122580 129330 172440 217466 245160 258660 326199 434932 517320 543665 652398 869864 978597 1087330 1304796 1630995 1957194 2174660 2609592 2935791 3261990 3914388 4349320 4892985 5871582 6523980 7828776 9785970 11743164 13047960 14678955 19571940 23486328 29357910 39143880 58715820 117431640