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117113544 = 233217163587
BaseRepresentation
bin1101111101100…
…00001011001000
322011100222120200
412332300023020
5214440113134
615342052200
72621306622
oct676601310
9264328520
10117113544
1160120159
123327a060
131b356172
14117a7c12
15a435499
hex6fb02c8

117113544 has 96 divisors (see below), whose sum is σ = 338476320. Its totient is φ = 36453888.

The previous prime is 117113543. The next prime is 117113551. The reversal of 117113544 is 445311711.

117113544 is a `hidden beast` number, since 1 + 1 + 7 + 113 + 544 = 666.

It is not an unprimeable number, because it can be changed into a prime (117113543) by changing a digit.

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, 199219 + ... + 199805.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2117113544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117113544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169238160).

117113544 is an abundant number, since it is smaller than the sum of its proper divisors (221362776).

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

117113544 is a wasteful number, since it uses less digits than its factorization.

117113544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

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

The square root of 117113544 is about 10821.9011268815. The cubic root of 117113544 is about 489.2554902114.

The spelling of 117113544 in words is "one hundred seventeen million, one hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 163 204 306 326 408 489 587 612 652 978 1174 1224 1304 1467 1761 1956 2348 2771 2934 3522 3912 4696 5283 5542 5868 7044 8313 9979 10566 11084 11736 14088 16626 19958 21132 22168 24939 29937 33252 39916 42264 49878 59874 66504 79832 89811 95681 99756 119748 179622 191362 199512 239496 287043 359244 382724 574086 718488 765448 861129 1148172 1626577 1722258 2296344 3253154 3444516 4879731 6506308 6889032 9759462 13012616 14639193 19518924 29278386 39037848 58556772 117113544