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532530 = 23256197
BaseRepresentation
bin10000010000000110010
31000001111100
42002000302
5114020110
615225230
74345365
oct2020062
91001440
10532530
11334109
12218216
1315850b
14dc0dc
15a7bc0
hex82032

532530 has 48 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 138240.

The previous prime is 532529. The next prime is 532531. The reversal of 532530 is 35235.

It is an interprime number because it is at equal distance from previous prime (532529) and next prime (532531).

It can be written as a sum of positive squares in 4 ways, for example, as 263169 + 269361 = 513^2 + 519^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (532531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5442 + ... + 5538.

2532530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

532530 is an abundant number, since it is smaller than the sum of its proper divisors (889254).

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

532530 is a wasteful number, since it uses less digits than its factorization.

532530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 532530 is about 729.7465313381. The cubic root of 532530 is about 81.0552891839.

Adding to 532530 its reverse (35235), we get a palindrome (567765).

The spelling of 532530 in words is "five hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 97 122 183 194 291 305 366 485 549 582 610 873 915 970 1098 1455 1746 1830 2745 2910 4365 5490 5917 8730 11834 17751 29585 35502 53253 59170 88755 106506 177510 266265 532530