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580087873 = 11333715233
BaseRepresentation
bin100010100100110…
…111000001000001
31111102112111222001
4202210313001001
52142000302443
6133321144001
720242444201
oct4244670101
91442474861
10580087873
11278498672
1214232b001
1393246481
1457082401
1535dd7d4d
hex22937041

580087873 has 8 divisors (see below), whose sum is σ = 586996488. Its totient is φ = 573210624.

The previous prime is 580087847. The next prime is 580087877. The reversal of 580087873 is 378780085.

It can be written as a sum of positive squares in 4 ways, for example, as 33837489 + 546250384 = 5817^2 + 23372^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(580087873) divides (580087873-1)3.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-580087873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (580087877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30465 + ... + 45697.

It is an arithmetic number, because the mean of its divisors is an integer number (73374561).

It is a Poulet number, since it divides 2580087872-1.

Almost surely, 2580087873 is an apocalyptic number.

580087873 is the 15233-rd heptagonal number.

It is an amenable number.

580087873 is a deficient number, since it is larger than the sum of its proper divisors (6908615).

580087873 is a wasteful number, since it uses less digits than its factorization.

580087873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683.

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 580087873 is about 24085.0134523525. The cubic root of 580087873 is about 833.9972055835.

The spelling of 580087873 in words is "five hundred eighty million, eighty-seven thousand, eight hundred seventy-three".

Divisors: 1 113 337 15233 38081 1721329 5133521 580087873