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528020 = 225171553
BaseRepresentation
bin10000000111010010100
3222211022022
42000322110
5113344040
615152312
74326263
oct2007224
9884268
10528020
11330789
12215698
1315644c
14da5da
15a66b5
hex80e94

528020 has 24 divisors (see below), whose sum is σ = 1174824. Its totient is φ = 198656.

The previous prime is 528013. The next prime is 528041. The reversal of 528020 is 20825.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 498436 = 172^2 + 706^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 528020.

It is a congruent number.

It is an unprimeable number.

528020 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, 437 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (48951).

2528020 is an apocalyptic number.

It is an amenable number.

528020 is an abundant number, since it is smaller than the sum of its proper divisors (646804).

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

528020 is a wasteful number, since it uses less digits than its factorization.

528020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 528020 is about 726.6498469001. The cubic root of 528020 is about 80.8258209147.

Adding to 528020 its reverse (20825), we get a palindrome (548845).

The spelling of 528020 in words is "five hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1553 3106 6212 7765 15530 26401 31060 52802 105604 132005 264010 528020