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520117164 = 223272436857
BaseRepresentation
bin11111000000000…
…101101110101100
31100020200200121200
4133000011232230
52031122222124
6123335525500
715613631400
oct3700055654
91306620550
10520117164
112476577a6
12126229890
13839a9948
144d111100
15309ddbc9
hex1f005bac

520117164 has 108 divisors (see below), whose sum is σ = 1565187624. Its totient is φ = 145127808.

The previous prime is 520117151. The next prime is 520117183. The reversal of 520117164 is 461711025.

It is a happy number.

520117164 is a `hidden beast` number, since 520 + 11 + 71 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72424 + ... + 79280.

It is an arithmetic number, because the mean of its divisors is an integer number (14492478).

Almost surely, 2520117164 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 520117164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782593812).

520117164 is an abundant number, since it is smaller than the sum of its proper divisors (1045070460).

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

520117164 is a wasteful number, since it uses less digits than its factorization.

520117164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6912 counting only the distinct ones).

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

The square root of 520117164 is about 22806.0773479351. The cubic root of 520117164 is about 804.2055426071.

Adding to 520117164 its reverse (461711025), we get a palindrome (981828189).

The spelling of 520117164 in words is "five hundred twenty million, one hundred seventeen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 49 63 84 86 98 126 129 147 172 196 252 258 294 301 387 441 516 588 602 774 882 903 1204 1548 1764 1806 2107 2709 3612 4214 5418 6321 6857 8428 10836 12642 13714 18963 20571 25284 27428 37926 41142 47999 61713 75852 82284 95998 123426 143997 191996 246852 287994 294851 335993 431991 575988 589702 671986 863982 884553 1007979 1179404 1343972 1727964 1769106 2015958 2063957 2653659 3023937 3538212 4031916 4127914 5307318 6047874 6191871 8255828 10614636 12095748 12383742 14447699 18575613 24767484 28895398 37151226 43343097 57790796 74302452 86686194 130029291 173372388 260058582 520117164