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530112 = 26311251
BaseRepresentation
bin10000001011011000000
3222221011210
42001123000
5113430422
615210120
74335342
oct2013300
9887153
10530112
11332310
12216940
1315739b
14db292
15a710c
hex816c0

530112 has 56 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 160000.

The previous prime is 530093. The next prime is 530129. The reversal of 530112 is 211035.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 530112.

It is an unprimeable number.

530112 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, 1987 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2530112 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 530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096).

530112 is an abundant number, since it is smaller than the sum of its proper divisors (1006080).

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

530112 is a wasteful number, since it uses less digits than its factorization.

530112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 530112 is about 728.0879067805. The cubic root of 530112 is about 80.9324234429.

Adding to 530112 its reverse (211035), we get a palindrome (741147).

The spelling of 530112 in words is "five hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 251 264 352 502 528 704 753 1004 1056 1506 2008 2112 2761 3012 4016 5522 6024 8032 8283 11044 12048 16064 16566 22088 24096 33132 44176 48192 66264 88352 132528 176704 265056 530112