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580066704 = 24337267409
BaseRepresentation
bin100010100100110…
…001110110010000
31111102111102221000
4202210301312100
52141444113304
6133320502000
720242325400
oct4244616620
91442442830
10580066704
11278483778
1214231a900
1393239949
1457078800
1535dd1939
hex22931d90

580066704 has 240 divisors, whose sum is σ = 1970558400. Its totient is φ = 162860544.

The previous prime is 580066703. The next prime is 580066709. The reversal of 580066704 is 407660085.

It is a happy number.

580066704 is a `hidden beast` number, since 580 + 0 + 6 + 6 + 70 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (580066703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418052 + ... + 1418460.

It is an arithmetic number, because the mean of its divisors is an integer number (8210660).

Almost surely, 2580066704 is an apocalyptic number.

580066704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580066704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985279200).

580066704 is an abundant number, since it is smaller than the sum of its proper divisors (1390491696).

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

580066704 is a wasteful number, since it uses less digits than its factorization.

580066704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 580066704 is about 24084.5739841916. The cubic root of 580066704 is about 833.9870605104.

The spelling of 580066704 in words is "five hundred eighty million, sixty-six thousand, seven hundred four".