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520107007 = 7195979839
BaseRepresentation
bin11111000000000…
…011001111111111
31100020200011200111
4133000003033333
52031121411012
6123335410451
715613556650
oct3700031777
91306604614
10520107007
11247650102
12126223a27
13839a5134
144d10b527
15309daba7
hex1f0033ff

520107007 has 32 divisors (see below), whose sum is σ = 645120000. Its totient is φ = 409440096.

The previous prime is 520107001. The next prime is 520107013. The reversal of 520107007 is 700701025.

It is an interprime number because it is at equal distance from previous prime (520107001) and next prime (520107013).

It is a cyclic number.

It is not a de Polignac number, because 520107007 - 227 = 385889279 is a prime.

It is a super-2 number, since 2×5201070072 = 541022597460996098, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520107001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619494 + ... + 620332.

It is an arithmetic number, because the mean of its divisors is an integer number (20160000).

Almost surely, 2520107007 is an apocalyptic number.

520107007 is a deficient number, since it is larger than the sum of its proper divisors (125012993).

520107007 is a wasteful number, since it uses less digits than its factorization.

520107007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 520107007 is about 22805.8546649758. The cubic root of 520107007 is about 804.2003076527.

The spelling of 520107007 in words is "five hundred twenty million, one hundred seven thousand, seven".

Divisors: 1 7 19 59 79 133 413 553 839 1121 1501 4661 5873 7847 10507 15941 32627 49501 66281 88559 111587 346507 463967 619913 940519 1259339 3910579 6583633 8815373 27374053 74301001 520107007