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13144 = 233153
BaseRepresentation
bin11001101011000
3200000211
43031120
5410034
6140504
753215
oct31530
920024
1013144
11996a
127734
135ca1
144b0c
153d64
hex3358

13144 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 6240.

The previous prime is 13127. The next prime is 13147. The reversal of 13144 is 44131.

13144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147) by changing a digit.

13144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 222 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

213144 is an apocalyptic number.

It is an amenable number.

13144 is a deficient number, since it is larger than the sum of its proper divisors (12776).

13144 is a wasteful number, since it uses less digits than its factorization.

13144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 13144 is about 114.6472851837. The cubic root of 13144 is about 23.5998467863.

Subtracting from 13144 its sum of digits (13), we obtain a palindrome (13131).

Adding to 13144 its reverse (44131), we get a palindrome (57275).

The spelling of 13144 in words is "thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 31 53 62 106 124 212 248 424 1643 3286 6572 13144