Search a number
-
+
117830538 = 2347293583
BaseRepresentation
bin1110000010111…
…11001110001010
322012201102010000
413001133032022
5220131034123
615405303430
72630354160
oct701371612
9265642100
10117830538
116056a911
1233564b76
131b547617
1411913230
15a527b43
hex705f38a

117830538 has 80 divisors (see below), whose sum is σ = 312238080. Its totient is φ = 32495904.

The previous prime is 117830527. The next prime is 117830563. The reversal of 117830538 is 835038711.

117830538 is a `hidden beast` number, since 117 + 8 + 3 + 0 + 538 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31095 + ... + 34677.

It is an arithmetic number, because the mean of its divisors is an integer number (3902976).

Almost surely, 2117830538 is an apocalyptic number.

117830538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117830538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119040).

117830538 is an abundant number, since it is smaller than the sum of its proper divisors (194407542).

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

117830538 is a wasteful number, since it uses less digits than its factorization.

117830538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 117830538 is about 10854.9775679179. The cubic root of 117830538 is about 490.2519015772.

The spelling of 117830538 in words is "one hundred seventeen million, eight hundred thirty thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 1134 1218 1566 1827 2349 3583 3654 4698 5481 7166 10749 10962 16443 21498 25081 32247 32886 50162 64494 75243 96741 103907 150486 193482 207814 225729 290223 311721 451458 580446 623442 677187 727349 935163 1354374 1454698 1870326 2031561 2182047 2805489 4063122 4364094 5610978 6546141 8416467 13092282 16832934 19638423 39276846 58915269 117830538