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580196064 = 25372123341
BaseRepresentation
bin100010100101010…
…001011011100000
31111102202000101010
4202211101123200
52142012233224
6133323340520
720243404500
oct4245213340
91442660333
10580196064
11278561988
12142381740
13932837a6
14570ada00
1535e09e29
hex229516e0

580196064 has 72 divisors (see below), whose sum is σ = 1771684488. Its totient is φ = 165768960.

The previous prime is 580196063. The next prime is 580196087. The reversal of 580196064 is 460691085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580196063) 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, 56967 + ... + 66374.

It is an arithmetic number, because the mean of its divisors is an integer number (24606729).

Almost surely, 2580196064 is an apocalyptic number.

It is an amenable number.

580196064 is an abundant number, since it is smaller than the sum of its proper divisors (1191488424).

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

580196064 is a wasteful number, since it uses less digits than its factorization.

580196064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123368 (or 123353 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 580196064 is about 24087.2593708790. The cubic root of 580196064 is about 834.0490513968.

The spelling of 580196064 in words is "five hundred eighty million, one hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 123341 246682 370023 493364 740046 863387 986728 1480092 1726774 1973456 2590161 2960184 3453548 3946912 5180322 5920368 6043709 6907096 10360644 11840736 12087418 13814192 18131127 20721288 24174836 27628384 36262254 41442576 48349672 72524508 82885152 96699344 145049016 193398688 290098032 580196064