Search a number
-
+
528580 = 2251319107
BaseRepresentation
bin10000001000011000100
3222212002001
42001003010
5113403310
615155044
74331023
oct2010304
9885061
10528580
11331148
12215a84
13156790
14da8ba
15a693a
hex810c4

528580 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 183168.

The previous prime is 528559. The next prime is 528611. The reversal of 528580 is 85825.

528580 = T17 + T18 + ... + T146.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4887 + ... + 4993.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2528580 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 528580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

528580 is an abundant number, since it is smaller than the sum of its proper divisors (741500).

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

528580 is a wasteful number, since it uses less digits than its factorization.

528580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 528580 is about 727.0350748073. The cubic root of 528580 is about 80.8543845221.

The spelling of 528580 in words is "five hundred twenty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 107 130 190 214 247 260 380 428 494 535 988 1070 1235 1391 2033 2140 2470 2782 4066 4940 5564 6955 8132 10165 13910 20330 26429 27820 40660 52858 105716 132145 264290 528580