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BaseRepresentation
bin11001000011000
3122120222
43020120
5402244
6135212
752250
oct31030
918528
1012824
1196a9
127508
135ab6
144960
153bee
hex3218

12824 has 16 divisors (see below), whose sum is σ = 27600. Its totient is φ = 5472.

The previous prime is 12823. The next prime is 12829. The reversal of 12824 is 42821.

12824 = T57 + T58 + ... + T63.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 59 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1725).

212824 is an apocalyptic number.

12824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12824 is an abundant number, since it is smaller than the sum of its proper divisors (14776).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800).

12824 is a wasteful number, since it uses less digits than its factorization.

12824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 12824 is about 113.2431013351. The cubic root of 12824 is about 23.4067528663.

The spelling of 12824 in words is "twelve thousand, eight hundred twenty-four".