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530624640 = 27357133037
BaseRepresentation
bin11111101000001…
…011000010000000
31100222110112011110
4133220023002000
52041314442030
6124353043320
716102143420
oct3750130200
91328415143
10530624640
11252584167
12129856540
1385c184a0
1450688480
15318b71b0
hex1fa0b080

530624640 has 256 divisors, whose sum is σ = 2082366720. Its totient is φ = 111919104.

The previous prime is 530624569. The next prime is 530624641. The reversal of 530624640 is 46426035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 530624598 and 530624607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530624641) 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 31 ways as a sum of consecutive naturals, for example, 173202 + ... + 176238.

It is an arithmetic number, because the mean of its divisors is an integer number (8134245).

Almost surely, 2530624640 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 530624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041183360).

530624640 is an abundant number, since it is smaller than the sum of its proper divisors (1551742080).

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

530624640 is a wasteful number, since it uses less digits than its factorization.

530624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 530624640 is about 23035.2911854832. The cubic root of 530624640 is about 809.5850335988.

The spelling of 530624640 in words is "five hundred thirty million, six hundred twenty-four thousand, six hundred forty".