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580520 = 23523631
BaseRepresentation
bin10001101101110101000
31002111022202
42031232220
5122034040
620235332
74635323
oct2155650
91074282
10580520
11367176
1223bb48
13174305
141117ba
15b7015
hex8dba8

580520 has 32 divisors (see below), whose sum is σ = 1365120. Its totient is φ = 221760.

The previous prime is 580513. The next prime is 580529. The reversal of 580520 is 25085.

580520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 580492 and 580501.

It is not an unprimeable number, because it can be changed into a prime (580529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (42660).

2580520 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 580520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682560).

580520 is an abundant number, since it is smaller than the sum of its proper divisors (784600).

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

580520 is a wasteful number, since it uses less digits than its factorization.

580520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 580520 is about 761.9186308262. The cubic root of 580520 is about 83.4204245054.

The spelling of 580520 in words is "five hundred eighty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 631 920 1262 2524 3155 5048 6310 12620 14513 25240 29026 58052 72565 116104 145130 290260 580520