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580020085 = 5202957173
BaseRepresentation
bin100010100100100…
…110011101110101
31111102102001222101
4202210212131311
52141441120320
6133315502101
720242042441
oct4244463565
91442361871
10580020085
11278451747
121422b7931
1393221668
1457065821
1535dc2c0a
hex22926775

580020085 has 8 divisors (see below), whose sum is σ = 696379320. Its totient is φ = 463779264.

The previous prime is 580020047. The next prime is 580020121.

580020085 is nontrivially palindromic in base 10.

580020085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 392713489 + 187306596 = 19817^2 + 13686^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 580020085 - 213 = 580011893 is a prime.

It is a super-4 number, since 4×5800200854 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18442 + ... + 38731.

It is an arithmetic number, because the mean of its divisors is an integer number (87047415).

Almost surely, 2580020085 is an apocalyptic number.

It is an amenable number.

580020085 is a deficient number, since it is larger than the sum of its proper divisors (116359235).

580020085 is a wasteful number, since it uses less digits than its factorization.

580020085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59207.

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 580020085 is about 24083.6061460903. The cubic root of 580020085 is about 833.9647178590.

The spelling of 580020085 in words is "five hundred eighty million, twenty thousand, eighty-five".

Divisors: 1 5 2029 10145 57173 285865 116004017 580020085