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520060320 = 253251322137
BaseRepresentation
bin11110111111110…
…111110110100000
31100020120210122100
4132333313312200
52031113412240
6123334410400
715613303563
oct3677676640
91306523570
10520060320
1124761901a
12126200a00
1383989b00
144d0d84da
15309cbe30
hex1eff7da0

520060320 has 216 divisors, whose sum is σ = 1922622156. Its totient is φ = 127954944.

The previous prime is 520060313. The next prime is 520060349. The reversal of 520060320 is 23060025.

It can be written as a sum of positive squares in 6 ways, for example, as 767376 + 519292944 = 876^2 + 22788^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 520060293 and 520060302.

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, 242292 + ... + 244428.

Almost surely, 2520060320 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 520060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961311078).

520060320 is an abundant number, since it is smaller than the sum of its proper divisors (1402561836).

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

520060320 is a wasteful number, since it uses less digits than its factorization.

520060320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 520060320 is about 22804.8310671226. The cubic root of 520060320 is about 804.1762441281.

The spelling of 520060320 in words is "five hundred twenty million, sixty thousand, three hundred twenty".