Search a number
-
+
12823265 = 571328183
BaseRepresentation
bin110000111010…
…101011100001
3220010111012202
4300322223201
511240321030
61134502545
7213665420
oct60725341
926114182
1012823265
117269344
124364a55
13286c940
1419bb2b7
1511d4745
hexc3aae1

12823265 has 16 divisors (see below), whose sum is σ = 18939648. Its totient is φ = 8116416.

The previous prime is 12823247. The next prime is 12823267. The reversal of 12823265 is 56232821.

12823265 is digitally balanced in base 2, base 3 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12823265 - 28 = 12823009 is a prime.

It is a super-2 number, since 2×128232652 = 328872250520450, which contains 22 as substring.

12823265 is strictly pandigital in base 8.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12823267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13637 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (1183728).

Almost surely, 212823265 is an apocalyptic number.

It is an amenable number.

12823265 is a deficient number, since it is larger than the sum of its proper divisors (6116383).

12823265 is a wasteful number, since it uses less digits than its factorization.

12823265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28208.

The product of its digits is 5760, while the sum is 29.

The square root of 12823265 is about 3580.9586705239. The cubic root of 12823265 is about 234.0630567639.

The spelling of 12823265 in words is "twelve million, eight hundred twenty-three thousand, two hundred sixty-five".

Divisors: 1 5 7 13 35 65 91 455 28183 140915 197281 366379 986405 1831895 2564653 12823265