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530928 = 24331229
BaseRepresentation
bin10000001100111110000
3222222022000
42001213300
5113442203
615214000
74340616
oct2014760
9888260
10530928
11332992
12217300
13157878
14db6b6
15a74a3
hex819f0

530928 has 40 divisors (see below), whose sum is σ = 1525200. Its totient is φ = 176832.

The previous prime is 530911. The next prime is 530947. The reversal of 530928 is 829035.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

530928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (38130).

2530928 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 530928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762600).

530928 is an abundant number, since it is smaller than the sum of its proper divisors (994272).

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

530928 is a wasteful number, since it uses less digits than its factorization.

530928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 530928 is about 728.6480631965. The cubic root of 530928 is about 80.9739285091.

The spelling of 530928 in words is "five hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1229 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 33183 44244 58992 66366 88488 132732 176976 265464 530928