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580320992 = 25312113167
BaseRepresentation
bin100010100101101…
…111111011100000
31111102222100202002
4202211233323200
52142030232432
6133330143132
720244434636
oct4245577340
91442870662
10580320992
11278637829
12142421aa8
13932c8604
1457103356
1535e31e62
hex2296fee0

580320992 has 72 divisors (see below), whose sum is σ = 1198129968. Its totient is φ = 276648960.

The previous prime is 580320989. The next prime is 580320997. The reversal of 580320992 is 299023085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580320997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3474893 + ... + 3475059.

It is an arithmetic number, because the mean of its divisors is an integer number (16640694).

Almost surely, 2580320992 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 580320992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599064984).

580320992 is an abundant number, since it is smaller than the sum of its proper divisors (617808976).

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

580320992 is a wasteful number, since it uses less digits than its factorization.

580320992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 580320992 is about 24089.8524694528. The cubic root of 580320992 is about 834.1089096692.

The spelling of 580320992 in words is "five hundred eighty million, three hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 113 124 167 226 248 334 452 496 668 904 961 992 1336 1808 1922 2672 3503 3616 3844 5177 5344 7006 7688 10354 14012 15376 18871 20708 28024 30752 37742 41416 56048 75484 82832 108593 112096 150968 160487 165664 217186 301936 320974 434372 585001 603872 641948 868744 1170002 1283896 1737488 2340004 2567792 3474976 4680008 5135584 9360016 18135031 18720032 36270062 72540124 145080248 290160496 580320992