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580104 = 233271151
BaseRepresentation
bin10001101101000001000
31002110202100
42031220020
5122030404
620233400
74634160
oct2155010
91073670
10580104
11366928
1223b860
13174075
141115a0
15b6d39
hex8da08

580104 has 48 divisors (see below), whose sum is σ = 1797120. Its totient is φ = 165600.

The previous prime is 580093. The next prime is 580133. The reversal of 580104 is 401085.

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

It is an unprimeable number.

580104 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 11 ways as a sum of consecutive naturals, for example, 72 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2580104 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 580104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898560).

580104 is an abundant number, since it is smaller than the sum of its proper divisors (1217016).

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

580104 is a wasteful number, since it uses less digits than its factorization.

580104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 580104 is about 761.6455868710. The cubic root of 580104 is about 83.4004934153.

Adding to 580104 its reverse (401085), we get a palindrome (981189).

The spelling of 580104 in words is "five hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1151 2302 3453 4604 6906 8057 9208 10359 13812 16114 20718 24171 27624 32228 41436 48342 64456 72513 82872 96684 145026 193368 290052 580104