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520064 = 2717239
BaseRepresentation
bin1111110111110000000
3222102101122
41332332000
5113120224
615051412
74264136
oct1767600
9872348
10520064
11325806
12210b68
1315293c
14d7756
15a415e
hex7ef80

520064 has 32 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 243712.

The previous prime is 520063. The next prime is 520067. The reversal of 520064 is 460025.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520063) 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 3 ways as a sum of consecutive naturals, for example, 2057 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2520064 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 520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

520064 is an abundant number, since it is smaller than the sum of its proper divisors (581536).

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

520064 is a wasteful number, since it uses less digits than its factorization.

520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 520064 is about 721.1546297432. The cubic root of 520064 is about 80.4178140935.

Adding to 520064 its reverse (460025), we get a palindrome (980089).

The spelling of 520064 in words is "five hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 239 272 478 544 956 1088 1912 2176 3824 4063 7648 8126 15296 16252 30592 32504 65008 130016 260032 520064