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580135580 = 225376711701
BaseRepresentation
bin100010100101000…
…010101010011100
31111102121221101222
4202211002222130
52142003314310
6133322152512
720243033243
oct4245025234
91442557358
10580135580
112785204a2
12142352738
13932620bb
145709595a
1535de7055
hex22942a9c

580135580 has 48 divisors (see below), whose sum is σ = 1269994656. Its totient is φ = 222393600.

The previous prime is 580135573. The next prime is 580135603. The reversal of 580135580 is 85531085.

It is a self number, because there is not a number n which added to its sum of digits gives 580135580.

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, 43730 + ... + 55430.

It is an arithmetic number, because the mean of its divisors is an integer number (26458222).

Almost surely, 2580135580 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 580135580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634997328).

580135580 is an abundant number, since it is smaller than the sum of its proper divisors (689859076).

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

580135580 is a wasteful number, since it uses less digits than its factorization.

580135580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11814 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The square root of 580135580 is about 24086.0038196460. The cubic root of 580135580 is about 834.0200678749.

The spelling of 580135580 in words is "five hundred eighty million, one hundred thirty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 67 74 134 148 185 268 335 370 670 740 1340 2479 4958 9916 11701 12395 23402 24790 46804 49580 58505 117010 234020 432937 783967 865874 1567934 1731748 2164685 3135868 3919835 4329370 7839670 8658740 15679340 29006779 58013558 116027116 145033895 290067790 580135580