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530187840 = 263257213172
BaseRepresentation
bin11111100110100…
…000011001000000
31100221122022222200
4133212200121000
52041212002330
6124335433200
716065344100
oct3746403100
91327568880
10530187840
11252305a76
12129685800
1385ac4720
14505b3200
153182ca60
hex1f9a0640

530187840 has 756 divisors, whose sum is σ = 2426831316. Its totient is φ = 105283584.

The previous prime is 530187829. The next prime is 530187859. The reversal of 530187840 is 48781035.

530187840 is a `hidden beast` number, since 530 + 1 + 87 + 8 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 529736256 = 672^2 + 23016^2 .

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 = 530187795 and 530187804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31187512 + ... + 31187528.

Almost surely, 2530187840 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 530187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213415658).

530187840 is an abundant number, since it is smaller than the sum of its proper divisors (1896643476).

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

530187840 is a wasteful number, since it uses less digits than its factorization.

530187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 530187840 is about 23025.8081291407. The cubic root of 530187840 is about 809.3628276718.

The spelling of 530187840 in words is "five hundred thirty million, one hundred eighty-seven thousand, eight hundred forty".