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520712640 = 263257231123
BaseRepresentation
bin11111000010010…
…111000111000000
31100021210221110100
4133002113013000
52031300301030
6123400402400
715621661440
oct3702270700
91307727410
10520712640
11247a24128
12126476400
1383b579b6
144d228120
1530aaa360
hex1f0971c0

520712640 has 336 divisors, whose sum is σ = 2137794048. Its totient is φ = 113743872.

The previous prime is 520712639. The next prime is 520712657. The reversal of 520712640 is 46217025.

520712640 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5207126402 = 542283306911539200, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 463119 + ... + 464241.

Almost surely, 2520712640 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 520712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068897024).

520712640 is an abundant number, since it is smaller than the sum of its proper divisors (1617081408).

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

520712640 is a wasteful number, since it uses less digits than its factorization.

520712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 520712640 is about 22819.1288177266. The cubic root of 520712640 is about 804.5123340330.

Adding to 520712640 its reverse (46217025), we get a palindrome (566929665).

The spelling of 520712640 in words is "five hundred twenty million, seven hundred twelve thousand, six hundred forty".