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12832506 = 234113701
BaseRepresentation
bin110000111100…
…111011111010
3220010221220000
4300330323322
511241120011
61135013430
7214034361
oct60747372
926127800
1012832506
117275285
12436a276
132873bcb
1419c07d8
1511d7356
hexc3cefa

12832506 has 40 divisors (see below), whose sum is σ = 29050164. Its totient is φ = 4233600.

The previous prime is 12832493. The next prime is 12832507. The reversal of 12832506 is 60523821.

12832506 is a `hidden beast` number, since 128 + 32 + 506 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12638025 + 194481 = 3555^2 + 441^2 .

It is a super-3 number, since 3×128325063 (a number of 22 digits) contains 333 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12832506.

It is not an unprimeable number, because it can be changed into a prime (12832507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17956 + ... + 18656.

Almost surely, 212832506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12832506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14525082).

12832506 is an abundant number, since it is smaller than the sum of its proper divisors (16217658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12832506 is a wasteful number, since it uses less digits than its factorization.

12832506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12832506 is about 3582.2487350825. The cubic root of 12832506 is about 234.1192685877.

The spelling of 12832506 in words is "twelve million, eight hundred thirty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 701 1017 1402 2034 2103 3051 4206 6102 6309 9153 12618 18306 18927 37854 56781 79213 113562 158426 237639 475278 712917 1425834 2138751 4277502 6416253 12832506