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12438 = 232691
BaseRepresentation
bin11000010010110
3122001200
43002112
5344223
6133330
751156
oct30226
918050
1012438
119388
127246
13587a
144766
153a43
hex3096

12438 has 12 divisors (see below), whose sum is σ = 26988. Its totient is φ = 4140.

The previous prime is 12437. The next prime is 12451. The reversal of 12438 is 83421.

12438 = 72 + 82 + ... + 332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 691 = 12438 / (1 + 2 + 4 + 3 + 8).

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 328 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (2249).

212438 is an apocalyptic number.

12438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12438 is an abundant number, since it is smaller than the sum of its proper divisors (14550).

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

12438 is a wasteful number, since it uses less digits than its factorization.

12438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 696 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12438 is about 111.5257817726. The cubic root of 12438 is about 23.1695100858.

Subtracting from 12438 its product of digits (192), we obtain a triangular number (12246 = T156).

Adding to 12438 its reverse (83421), we get a palindrome (95859).

The spelling of 12438 in words is "twelve thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 691 1382 2073 4146 6219 12438