Search a number
-
+
530920 = 235131021
BaseRepresentation
bin10000001100111101000
3222222021201
42001213220
5113442140
615213544
74340605
oct2014750
9888251
10530920
11332985
122172b4
13157870
14db6ac
15a749a
hex819e8

530920 has 32 divisors (see below), whose sum is σ = 1287720. Its totient is φ = 195840.

The previous prime is 530911. The next prime is 530947. The reversal of 530920 is 29035.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 178084 = 594^2 + 422^2 .

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

530920 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, 10 + ... + 1030.

2530920 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 530920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643860).

530920 is an abundant number, since it is smaller than the sum of its proper divisors (756800).

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

530920 is a wasteful number, since it uses less digits than its factorization.

530920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 530920 is about 728.6425735572. The cubic root of 530920 is about 80.9735218032.

Adding to 530920 its reverse (29035), we get a palindrome (559955).

It can be divided in two parts, 5309 and 20, that added together give a square (5329 = 732).

The spelling of 530920 in words is "five hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1021 2042 4084 5105 8168 10210 13273 20420 26546 40840 53092 66365 106184 132730 265460 530920