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10944 = 263219
BaseRepresentation
bin10101011000000
3120000100
42223000
5322234
6122400
743623
oct25300
916010
1010944
11824a
126400
134c9b
143dba
153399
hex2ac0

10944 has 42 divisors (see below), whose sum is σ = 33020. Its totient is φ = 3456.

The previous prime is 10939. The next prime is 10949. The reversal of 10944 is 44901.

10944 = T24 + T25 + ... + T42.

It is an interprime number because it is at equal distance from previous prime (10939) and next prime (10949).

It is a super-2 number, since 2×109442 = 239542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10949) by changing a digit.

10944 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567 + ... + 585.

210944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510).

10944 is an abundant number, since it is smaller than the sum of its proper divisors (22076).

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

10944 is a wasteful number, since it uses less digits than its factorization.

10944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10944 is about 104.6135746450. The cubic root of 10944 is about 22.2019964116.

It can be divided in two parts, 109 and 44, that added together give a triangular number (153 = T17).

The spelling of 10944 in words is "ten thousand, nine hundred forty-four".