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520422168 = 233729372887
BaseRepresentation
bin11111000001010…
…000001100011000
31100021021012000010
4133001100030120
52031212002133
6123350241520
715616341540
oct3701201430
91307235003
10520422168
11247845972
121263562a0
1383a85716
144d190320
1530a4e263
hex1f050318

520422168 has 128 divisors (see below), whose sum is σ = 1580313600. Its totient is φ = 139636224.

The previous prime is 520422121. The next prime is 520422181. The reversal of 520422168 is 861224025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178821 + ... + 181707.

It is an arithmetic number, because the mean of its divisors is an integer number (12346200).

Almost surely, 2520422168 is an apocalyptic number.

520422168 is a gapful number since it is divisible by the number (58) 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 520422168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790156800).

520422168 is an abundant number, since it is smaller than the sum of its proper divisors (1059891432).

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

520422168 is a wasteful number, since it uses less digits than its factorization.

520422168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 520422168 is about 22812.7632697137. The cubic root of 520422168 is about 804.3627110258.

It can be divided in two parts, 5204 and 22168, that added together give a palindrome (27372).

The spelling of 520422168 in words is "five hundred twenty million, four hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 84 87 111 116 148 168 174 203 222 232 259 296 348 406 444 518 609 696 777 812 888 1036 1073 1218 1554 1624 2072 2146 2436 2887 3108 3219 4292 4872 5774 6216 6438 7511 8584 8661 11548 12876 15022 17322 20209 22533 23096 25752 30044 34644 40418 45066 60088 60627 69288 80836 83723 90132 106819 121254 161672 167446 180264 213638 242508 251169 320457 334892 427276 485016 502338 586061 640914 669784 747733 854552 1004676 1172122 1281828 1495466 1758183 2009352 2243199 2344244 2563656 2990932 3097751 3516366 4486398 4688488 5981864 6195502 7032732 8972796 9293253 12391004 14065464 17945592 18586506 21684257 24782008 37173012 43368514 65052771 74346024 86737028 130105542 173474056 260211084 520422168