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530828640 = 253753741
BaseRepresentation
bin11111101000111…
…100110101100000
31100222211220000000
4133220330311200
52041343004030
6124401300000
716103653236
oct3750746540
91328756000
10530828640
11252703461
12129934600
1385c8a2b4
14506dc956
1531907860
hex1fa3cd60

530828640 has 384 divisors, whose sum is σ = 1978784640. Its totient is φ = 134369280.

The previous prime is 530828611. The next prime is 530828647. The reversal of 530828640 is 46828035.

530828640 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 2 + 8 + 640 = 666.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 530828595 and 530828604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530828647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12947020 + ... + 12947060.

It is an arithmetic number, because the mean of its divisors is an integer number (5153085).

Almost surely, 2530828640 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 530828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989392320).

530828640 is an abundant number, since it is smaller than the sum of its proper divisors (1447956000).

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

530828640 is an equidigital number, since it uses as much as digits as its factorization.

530828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 530828640 is about 23039.7187482834. The cubic root of 530828640 is about 809.6887693184.

The spelling of 530828640 in words is "five hundred thirty million, eight hundred twenty-eight thousand, six hundred forty".