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580060085 = 5112958777
BaseRepresentation
bin100010100100110…
…000001110110101
31111102111002211212
4202210300032311
52141443410320
6133320411205
720242300163
oct4244601665
91442432755
10580060085
11278479800
12142316b05
1393236927
1457076233
1535dce9c5
hex229303b5

580060085 has 12 divisors (see below), whose sum is σ = 765104844. Its totient is φ = 421861440.

The previous prime is 580060031. The next prime is 580060109.

580060085 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 255808036 + 324252049 = 15994^2 + 18007^2 .

It is not a de Polignac number, because 580060085 - 218 = 579797941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478784 + ... + 479993.

It is an arithmetic number, because the mean of its divisors is an integer number (63758737).

Almost surely, 2580060085 is an apocalyptic number.

580060085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

580060085 is a deficient number, since it is larger than the sum of its proper divisors (185044759).

580060085 is a wasteful number, since it uses less digits than its factorization.

580060085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958804 (or 958793 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 580060085 is about 24084.4365721933. The cubic root of 580060085 is about 833.9838883572.

The spelling of 580060085 in words is "five hundred eighty million, sixty thousand, eighty-five".

Divisors: 1 5 11 55 121 605 958777 4793885 10546547 52732735 116012017 580060085