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530120 = 23529457
BaseRepresentation
bin10000001011011001000
3222221012002
42001123020
5113430440
615210132
74335353
oct2013310
9887162
10530120
11332318
12216948
131573a6
14db29a
15a7115
hex816c8

530120 has 32 divisors (see below), whose sum is σ = 1236600. Its totient is φ = 204288.

The previous prime is 530093. The next prime is 530129. The reversal of 530120 is 21035.

530120 = T64 + T65 + ... + T150.

It can be written as a sum of positive squares in 4 ways, for example, as 498436 + 31684 = 706^2 + 178^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 530120.

It is not an unprimeable number, because it can be changed into a prime (530129) by changing a digit.

530120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932 + ... + 1388.

2530120 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 530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618300).

530120 is an abundant number, since it is smaller than the sum of its proper divisors (706480).

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

530120 is a wasteful number, since it uses less digits than its factorization.

530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 530120 is about 728.0934006019. The cubic root of 530120 is about 80.9328305620.

Adding to 530120 its reverse (21035), we get a palindrome (551155).

The spelling of 530120 in words is "five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 457 580 914 1160 1828 2285 3656 4570 9140 13253 18280 26506 53012 66265 106024 132530 265060 530120