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2144 = 2567
BaseRepresentation
bin100001100000
32221102
4201200
532034
613532
76152
oct4140
92842
102144
11167a
1212a8
13c8c
1597e
hex860

2144 has 12 divisors (see below), whose sum is σ = 4284. Its totient is φ = 1056.

The previous prime is 2143. The next prime is 2153. The reversal of 2144 is 4412.

2144 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

2144 is an undulating number in base 13.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

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 2144.

It is not an unprimeable number, because it can be changed into a prime (2141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (357).

It is an amenable number.

2144 is a deficient number, since it is larger than the sum of its proper divisors (2140).

2144 is an equidigital number, since it uses as much as digits as its factorization.

2144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its digits is 32, while the sum is 11.

The square root of 2144 is about 46.3033476112. The cubic root of 2144 is about 12.8946114545.

Subtracting from 2144 its product of digits (32), we obtain a palindrome (2112).

Adding to 2144 its reverse (4412), we get a palindrome (6556).

The spelling of 2144 in words is "two thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 67 134 268 536 1072 2144