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520516164 = 223731474253
BaseRepresentation
bin11111000001100…
…111001001000100
31100021102221221110
4133001213021010
52031223004124
6123352245020
715620212560
oct3701471104
91307387843
10520516164
112478aa553
121263a0770
1383ab943c
144d1b66a0
1530a6c029
hex1f067244

520516164 has 96 divisors (see below), whose sum is σ = 1463648256. Its totient is φ = 140826240.

The previous prime is 520516147. The next prime is 520516169. The reversal of 520516164 is 461615025.

It is not an unprimeable number, because it can be changed into a prime (520516169) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120262 + ... + 124514.

It is an arithmetic number, because the mean of its divisors is an integer number (15246336).

Almost surely, 2520516164 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 520516164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731824128).

520516164 is an abundant number, since it is smaller than the sum of its proper divisors (943132092).

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

520516164 is a wasteful number, since it uses less digits than its factorization.

520516164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 520516164 is about 22814.8233392240. The cubic root of 520516164 is about 804.4111347418.

The spelling of 520516164 in words is "five hundred twenty million, five hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1302 1316 1457 1974 2604 2914 3948 4253 4371 5828 8506 8742 10199 12759 17012 17484 20398 25518 29771 30597 40796 51036 59542 61194 89313 119084 122388 131843 178626 199891 263686 357252 395529 399782 527372 599673 791058 799564 922901 1199346 1399237 1582116 1845802 2398692 2768703 2798474 3691604 4197711 5537406 5596948 6196621 8395422 11074812 12393242 16790844 18589863 24786484 37179726 43376347 74359452 86752694 130129041 173505388 260258082 520516164