Search a number
-
+
528540 = 223523383
BaseRepresentation
bin10000001000010011100
3222212000120
42001002130
5113403130
615154540
74330635
oct2010234
9885016
10528540
11331111
12215a50
1315675c
14da88c
15a6910
hex8109c

528540 has 48 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 134464.

The previous prime is 528527. The next prime is 528559. The reversal of 528540 is 45825.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 528540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2528540 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 528540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

528540 is an abundant number, since it is smaller than the sum of its proper divisors (1019748).

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

528540 is a wasteful number, since it uses less digits than its factorization.

528540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 528540 is about 727.0075652976. The cubic root of 528540 is about 80.8523449336.

The spelling of 528540 in words is "five hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 383 460 690 766 1149 1380 1532 1915 2298 3830 4596 5745 7660 8809 11490 17618 22980 26427 35236 44045 52854 88090 105708 132135 176180 264270 528540