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12512385 = 3251012753
BaseRepresentation
bin101111101110…
…110010000001
3212112200202200
4233232302001
511200344020
61124103413
7211232154
oct57566201
925480680
1012512385
117076816
124234b69
1327912a2
141939c9b
151172590
hexbeec81

12512385 has 24 divisors (see below), whose sum is σ = 21910824. Its totient is φ = 6604800.

The previous prime is 12512371. The next prime is 12512389. The reversal of 12512385 is 58321521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 5157441 = 2712^2 + 2271^2 .

It is not a de Polignac number, because 12512385 - 210 = 12511361 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12512389) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3169 + ... + 5921.

It is an arithmetic number, because the mean of its divisors is an integer number (912951).

Almost surely, 212512385 is an apocalyptic number.

12512385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12512385 is a deficient number, since it is larger than the sum of its proper divisors (9398439).

12512385 is a wasteful number, since it uses less digits than its factorization.

12512385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2862 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12512385 is about 3537.2849757971. The cubic root of 12512385 is about 232.1560644839.

The spelling of 12512385 in words is "twelve million, five hundred twelve thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 2753 4545 8259 13765 24777 41295 123885 278053 834159 1390265 2502477 4170795 12512385