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13244 = 2271143
BaseRepresentation
bin11001110111100
3200011112
43032330
5410434
6141152
753420
oct31674
920145
1013244
119a50
1277b8
13604a
144b80
153dce
hex33bc

13244 has 24 divisors (see below), whose sum is σ = 29568. Its totient is φ = 5040.

The previous prime is 13241. The next prime is 13249. The reversal of 13244 is 44231.

13244 = T1 + T2 + ... + T42.

13244 is a nontrivial binomial coefficient, being equal to C(44, 3).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 (13241) by changing a digit.

It is the 42-nd tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (1232).

213244 is an apocalyptic number.

13244 is a gapful number since it is divisible by the number (14) 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 13244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784).

13244 is an abundant number, since it is smaller than the sum of its proper divisors (16324).

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

13244 is a wasteful number, since it uses less digits than its factorization.

13244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 13244 is about 115.0825790465. The cubic root of 13244 is about 23.6595451252.

13244 divided by its sum of digits (14) gives a triangular number (946 = T43).

Adding to 13244 its reverse (44231), we get a palindrome (57475).

The spelling of 13244 in words is "thirteen thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 473 602 946 1204 1892 3311 6622 13244