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12823264 = 25675981
BaseRepresentation
bin110000111010…
…101011100000
3220010111012201
4300322223200
511240321024
61134502544
7213665416
oct60725340
926114181
1012823264
117269343
124364a54
13286c93c
1419bb2b6
1511d4744
hexc3aae0

12823264 has 24 divisors (see below), whose sum is σ = 25626888. Its totient is φ = 6314880.

The previous prime is 12823247. The next prime is 12823267. The reversal of 12823264 is 46232821.

It is a super-2 number, since 2×128232642 = 328872199227392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823267) 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 3 ways as a sum of consecutive naturals, for example, 847 + ... + 5134.

It is an arithmetic number, because the mean of its divisors is an integer number (1067787).

Almost surely, 212823264 is an apocalyptic number.

It is an amenable number.

12823264 is a deficient number, since it is larger than the sum of its proper divisors (12803624).

12823264 is an equidigital number, since it uses as much as digits as its factorization.

12823264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 6050 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 12823264 is about 3580.9585308964. The cubic root of 12823264 is about 234.0630506795.

It can be divided in two parts, 128 and 23264, that multiplied together give a palindrome (2977792).

The spelling of 12823264 in words is "twelve million, eight hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 67 134 268 536 1072 2144 5981 11962 23924 47848 95696 191392 400727 801454 1602908 3205816 6411632 12823264