Search a number
-
+
12838681 = 311373023
BaseRepresentation
bin110000111110…
…011100011001
3220011021100201
4300332130121
511241314211
61135102201
7214061362
oct60763431
926137321
1012838681
117279989
124371961
13287696b
1419c2b69
1511d90c1
hexc3e719

12838681 has 8 divisors (see below), whose sum is σ = 13353984. Its totient is φ = 12329760.

The previous prime is 12838649. The next prime is 12838691. The reversal of 12838681 is 18683821.

12838681 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12838681 - 25 = 12838649 is a prime.

It is a super-2 number, since 2×128386812 = 329663459639522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12838681.

It is not an unprimeable number, because it can be changed into a prime (12838601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2736 + ... + 5758.

It is an arithmetic number, because the mean of its divisors is an integer number (1669248).

Almost surely, 212838681 is an apocalyptic number.

It is an amenable number.

12838681 is a deficient number, since it is larger than the sum of its proper divisors (515303).

12838681 is a wasteful number, since it uses less digits than its factorization.

12838681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191.

The product of its digits is 18432, while the sum is 37.

The square root of 12838681 is about 3583.1105202045. The cubic root of 12838681 is about 234.1568152850.

It can be divided in two parts, 128 and 38681, that added together give a square (38809 = 1972).

The spelling of 12838681 in words is "twelve million, eight hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 31 137 3023 4247 93713 414151 12838681