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520800768 = 2932113021
BaseRepresentation
bin11111000010101…
…100101000000000
31100021222102100100
4133002230220000
52031311111033
6123402322400
715622506405
oct3702545000
91307872310
10520800768
11247a84364
121264b9400
1383b88b47
144d24c2ac
1530ac6513
hex1f0aca00

520800768 has 60 divisors (see below), whose sum is σ = 1503079578. Its totient is φ = 173598720.

The previous prime is 520800767. The next prime is 520800793. The reversal of 520800768 is 867008025.

It can be written as a sum of positive squares in only one way, i.e., 389193984 + 131606784 = 19728^2 + 11472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (520800767) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51903 + ... + 61118.

Almost surely, 2520800768 is an apocalyptic number.

It is an amenable number.

520800768 is an abundant number, since it is smaller than the sum of its proper divisors (982278810).

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

520800768 is a wasteful number, since it uses less digits than its factorization.

520800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113045 (or 113026 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 520800768 is about 22821.0597475227. The cubic root of 520800768 is about 804.5577180306.

The spelling of 520800768 in words is "five hundred twenty million, eight hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 113021 226042 339063 452084 678126 904168 1017189 1356252 1808336 2034378 2712504 3616672 4068756 5425008 7233344 8137512 10850016 14466688 16275024 21700032 28933376 32550048 43400064 57866752 65100096 86800128 130200192 173600256 260400384 520800768