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520720816 = 24711715953
BaseRepresentation
bin11111000010011…
…001000110110000
31100021211100200011
4133002121012300
52031301031231
6123400504304
715622024330
oct3702310660
91307740604
10520720816
11247a2a290
1212647b094
1383b5b635
144d22b0c0
1530aac9b1
hex1f0991b0

520720816 has 80 divisors (see below), whose sum is σ = 1275775488. Its totient is φ = 199987200.

The previous prime is 520720799. The next prime is 520720847. The reversal of 520720816 is 618027025.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84496 + ... + 90448.

Almost surely, 2520720816 is an apocalyptic number.

520720816 is a gapful number since it is divisible by the number (56) 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 520720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637887744).

520720816 is an abundant number, since it is smaller than the sum of its proper divisors (755054672).

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

520720816 is a wasteful number, since it uses less digits than its factorization.

520720816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 520720816 is about 22819.3079649669. The cubic root of 520720816 is about 804.5165447102.

The spelling of 520720816 in words is "five hundred twenty million, seven hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 142 154 176 284 308 497 568 616 781 994 1136 1232 1562 1988 3124 3976 5467 5953 6248 7952 10934 11906 12496 21868 23812 41671 43736 47624 65483 83342 87472 95248 130966 166684 261932 333368 422663 458381 523864 666736 845326 916762 1047728 1690652 1833524 2958641 3381304 3667048 4649293 5917282 6762608 7334096 9298586 11834564 18597172 23669128 32545051 37194344 47338256 65090102 74388688 130180204 260360408 520720816