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530576640 = 28325115379
BaseRepresentation
bin11111100111111…
…111010100000000
31100222101002022200
4133213333110000
52041311423030
6124352033200
716101553446
oct3747772400
91328332280
10530576640
112525510a0
12129832800
1385bcc699
1450674b96
15318a7d60
hex1f9ff500

530576640 has 432 divisors, whose sum is σ = 2066238720. Its totient is φ = 124600320.

The previous prime is 530576639. The next prime is 530576689. The reversal of 530576640 is 46675035.

530576640 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 7 + 6 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 530576595 and 530576604.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6716121 + ... + 6716199.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2530576640 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 530576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033119360).

530576640 is an abundant number, since it is smaller than the sum of its proper divisors (1535662080).

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

530576640 is a wasteful number, since it uses less digits than its factorization.

530576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 530576640 is about 23034.2492823187. The cubic root of 530576640 is about 809.5606213304.

The spelling of 530576640 in words is "five hundred thirty million, five hundred seventy-six thousand, six hundred forty".