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520690896 = 243311197379
BaseRepresentation
bin11111000010010…
…001110011010000
31100021202211122000
4133002101303100
52031244102041
6123400114000
715621541155
oct3702216320
91307684560
10520690896
11247a09860
12126465900
1383b4ab2b
144d22022c
1530aa3bb6
hex1f091cd0

520690896 has 320 divisors, whose sum is σ = 1761792000. Its totient is φ = 145566720.

The previous prime is 520690879. The next prime is 520690901. The reversal of 520690896 is 698096025.

It is a super-2 number, since 2×5206908962 = 542238018354565632, 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 63 ways as a sum of consecutive naturals, for example, 6590985 + ... + 6591063.

It is an arithmetic number, because the mean of its divisors is an integer number (5505600).

Almost surely, 2520690896 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 520690896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880896000).

520690896 is an abundant number, since it is smaller than the sum of its proper divisors (1241101104).

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

520690896 is a wasteful number, since it uses less digits than its factorization.

520690896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 520690896 is about 22818.6523703745. The cubic root of 520690896 is about 804.5011355598.

The spelling of 520690896 in words is "five hundred twenty million, six hundred ninety thousand, eight hundred ninety-six".