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530580 = 223537239
BaseRepresentation
bin10000001100010010100
3222221211010
42001202110
5113434310
615212220
74336611
oct2014224
9887733
10530580
113326a6
12217070
1315766b
14db508
15a7320
hex81894

530580 has 48 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 137088.

The previous prime is 530567. The next prime is 530597. The reversal of 530580 is 85035.

It is a super-3 number, since 3×5305803 = 448098903213336000, which contains 333 as substring.

It is a nialpdrome in base 9 and base 15.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

530580 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 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2530580 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 530580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

530580 is an abundant number, since it is smaller than the sum of its proper divisors (1001580).

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

530580 is a wasteful number, since it uses less digits than its factorization.

530580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 530580 is about 728.4092256417. The cubic root of 530580 is about 80.9562330237.

The spelling of 530580 in words is "five hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 239 370 444 478 555 717 740 956 1110 1195 1434 2220 2390 2868 3585 4780 7170 8843 14340 17686 26529 35372 44215 53058 88430 106116 132645 176860 265290 530580