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117087432 = 233711173727
BaseRepresentation
bin1101111101010…
…01110011001000
322011022122202120
412332221303020
5214433244212
615341331240
72621140530
oct676516310
9264278676
10117087432
1160102580
1233266b20
131b347307
141179c4c0
15a42c88c
hex6fa9cc8

117087432 has 128 divisors (see below), whose sum is σ = 386519040. Its totient is φ = 28615680.

The previous prime is 117087419. The next prime is 117087433. The reversal of 117087432 is 234780711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117087393 and 117087402.

It is not an unprimeable number, because it can be changed into a prime (117087433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29553 + ... + 33279.

It is an arithmetic number, because the mean of its divisors is an integer number (3019680).

Almost surely, 2117087432 is an apocalyptic number.

117087432 is a gapful number since it is divisible by the number (12) 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 117087432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193259520).

117087432 is an abundant number, since it is smaller than the sum of its proper divisors (269431608).

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

117087432 is a wasteful number, since it uses less digits than its factorization.

117087432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 117087432 is about 10820.6946172600. The cubic root of 117087432 is about 489.2191255334.

The spelling of 117087432 in words is "one hundred seventeen million, eighty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3727 3927 4488 5236 7454 7854 10472 11181 14908 15708 22362 26089 29816 31416 40997 44724 52178 63359 78267 81994 89448 104356 122991 126718 156534 163988 190077 208712 245982 253436 286979 313068 327976 380154 443513 491964 506872 573958 626136 696949 760308 860937 887026 983928 1147916 1330539 1393898 1520616 1721874 1774052 2090847 2295832 2661078 2787796 3443748 3548104 4181694 4878643 5322156 5575592 6887496 8363388 9757286 10644312 14635929 16726776 19514572 29271858 39029144 58543716 117087432