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520461630 = 23251317137191
BaseRepresentation
bin11111000001011…
…001110100111110
31100021100012010200
4133001121310332
52031214233010
6123351144330
715616564563
oct3701316476
91307305120
10520461630
11247872587
121263750a6
1383a9a680
144d1a086a
1530a5acc0
hex1f059d3e

520461630 has 192 divisors, whose sum is σ = 1562416128. Its totient is φ = 119070720.

The previous prime is 520461629. The next prime is 520461631. The reversal of 520461630 is 36164025.

520461630 is a `hidden beast` number, since 5 + 20 + 4 + 6 + 1 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (520461629) and next prime (520461631).

It is a junction number, because it is equal to n+sod(n) for n = 520461594 and 520461603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520461631) 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 95 ways as a sum of consecutive naturals, for example, 2724835 + ... + 2725025.

It is an arithmetic number, because the mean of its divisors is an integer number (8137584).

Almost surely, 2520461630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520461630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781208064).

520461630 is an abundant number, since it is smaller than the sum of its proper divisors (1041954498).

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

520461630 is a wasteful number, since it uses less digits than its factorization.

520461630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 520461630 is about 22813.6281638848. The cubic root of 520461630 is about 804.3830412890.

The spelling of 520461630 in words is "five hundred twenty million, four hundred sixty-one thousand, six hundred thirty".