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12584065 = 513193601
BaseRepresentation
bin110000000000…
…010010000001
3212200100002111
4300000102001
511210142230
61125415321
7211651144
oct60002201
925610074
1012584065
11711565a
12426a541
1327b7ac0
14195805b
15118892a
hexc00481

12584065 has 8 divisors (see below), whose sum is σ = 16262568. Its totient is φ = 9292800.

The previous prime is 12584017. The next prime is 12584071. The reversal of 12584065 is 56048521.

It can be written as a sum of positive squares in 4 ways, for example, as 3073009 + 9511056 = 1753^2 + 3084^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-12584065 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96736 + ... + 96865.

It is an arithmetic number, because the mean of its divisors is an integer number (2032821).

Almost surely, 212584065 is an apocalyptic number.

It is an amenable number.

12584065 is a deficient number, since it is larger than the sum of its proper divisors (3678503).

12584065 is a wasteful number, since it uses less digits than its factorization.

12584065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193619.

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 12584065 is about 3547.4025708961. The cubic root of 12584065 is about 232.5985399544.

It can be divided in two parts, 125840 and 65, that multiplied together give a square (8179600 = 28602).

The spelling of 12584065 in words is "twelve million, five hundred eighty-four thousand, sixty-five".

Divisors: 1 5 13 65 193601 968005 2516813 12584065