6144 has 24 divisors (see below), whose sum is σ = 16380. Its totient is φ = 2048.

The previous prime is 6143. The next prime is 6151. The reversal of 6144 is 4416.

6144 = 22^{2} + 23^{2} + ... + 30^{2}.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)^{8}.

It is a tau number, because it is divible by the number of its divisors (24).

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.

It is a plaindrome in base 14.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 6144 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2047 + 2048 + 2049.

6144 is a Friedman number, since it can be written as 6*4^(4+1), using all its digits and the basic arithmetic operations.

2^{6144} is an apocalyptic number.

6144 is a gapful number since it is divisible by the number (64) 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 6144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190).

6144 is an abundant number, since it is smaller than the sum of its proper divisors (10236).

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

6144 is an equidigital number, since it uses as much as digits as its factorization.

6144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 5 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 6144 is about 78.3836717691. The cubic root of 6144 is about 18.3154278809.

Multiplying 6144 by its product of digits (96), we get a square (589824 = 768^{2}).

6144 divided by its product of digits (96) gives a 6-th power (64 = 2^{6}).

Subtracting from 6144 its reverse (4416), we obtain a cube (1728 = 12^{3}).

It can be divided in two parts, 61 and 44, that added together give a triangular number (105 = T_{14}).

The spelling of 6144 in words is "six thousand, one hundred forty-four".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.116 sec. • engine limits •