Search a number
-
+
12896 = 251331
BaseRepresentation
bin11001001100000
3122200122
43021200
5403041
6135412
752412
oct31140
918618
1012896
119764
127568
135b40
1449b2
153c4b
hex3260

12896 has 24 divisors (see below), whose sum is σ = 28224. Its totient is φ = 5760.

The previous prime is 12893. The next prime is 12899. The reversal of 12896 is 69821.

12896 divided by its sum of digits (26) gives a triangular number (496 = T31).

It is an interprime number because it is at equal distance from previous prime (12893) and next prime (12899).

It is a Harshad number since it is a multiple of its sum of digits (26).

Its product of digits (864) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893) 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, 401 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

212896 is an apocalyptic number.

12896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

12896 is an abundant number, since it is smaller than the sum of its proper divisors (15328).

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

12896 is a wasteful number, since it uses less digits than its factorization.

12896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 12896 is about 113.5605565326. The cubic root of 12896 is about 23.4504766657.

The spelling of 12896 in words is "twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896