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580311396 = 223274575039
BaseRepresentation
bin100010100101101…
…101100101100100
31111102221212120200
4202211231211210
52142024431041
6133330030500
720244364650
oct4245554544
91442855520
10580311396
112786305a5
12142418430
13932c4132
14570dda60
1535e2e1b6
hex2296d964

580311396 has 72 divisors (see below), whose sum is σ = 1680456960. Its totient is φ = 165407616.

The previous prime is 580311379. The next prime is 580311421. The reversal of 580311396 is 693113085.

It is a happy number.

It is a super-2 number, since 2×5803113962 = 673522632654937632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 580311396.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112645 + ... + 117683.

It is an arithmetic number, because the mean of its divisors is an integer number (23339680).

Almost surely, 2580311396 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 580311396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840228480).

580311396 is an abundant number, since it is smaller than the sum of its proper divisors (1100145564).

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

580311396 is a wasteful number, since it uses less digits than its factorization.

580311396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 580311396 is about 24089.6532976297. The cubic root of 580311396 is about 834.1043121256.

The spelling of 580311396 in words is "five hundred eighty million, three hundred eleven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 457 914 1371 1828 2742 3199 4113 5039 5484 6398 8226 9597 10078 12796 15117 16452 19194 20156 28791 30234 35273 38388 45351 57582 60468 70546 90702 105819 115164 141092 181404 211638 317457 423276 634914 1269828 2302823 4605646 6908469 9211292 13816938 16119761 20725407 27633876 32239522 41450814 48359283 64479044 82901628 96718566 145077849 193437132 290155698 580311396