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12038 = 213463
BaseRepresentation
bin10111100000110
3121111212
42330012
5341123
6131422
750045
oct27406
917455
1012038
119054
126b72
135630
14455c
153878
hex2f06

12038 has 8 divisors (see below), whose sum is σ = 19488. Its totient is φ = 5544.

The previous prime is 12037. The next prime is 12041. The reversal of 12038 is 83021.

12038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12038.

It is not an unprimeable number, because it can be changed into a prime (12037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (2436).

212038 is an apocalyptic number.

12038 is a deficient number, since it is larger than the sum of its proper divisors (7450).

12038 is a wasteful number, since it uses less digits than its factorization.

12038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12038 is about 109.7178198836. The cubic root of 12038 is about 22.9184255767.

Adding to 12038 its reverse (83021), we get a palindrome (95059).

It can be divided in two parts, 120 and 38, that multiplied together give a triangular number (4560 = T95).

The spelling of 12038 in words is "twelve thousand, thirty-eight".

Divisors: 1 2 13 26 463 926 6019 12038