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6944 = 25731
BaseRepresentation
bin1101100100000
3100112012
41230200
5210234
652052
726150
oct15440
910465
106944
115243
124028
133212
142760
1520ce
hex1b20

6944 has 24 divisors (see below), whose sum is σ = 16128. Its totient is φ = 2880.

The previous prime is 6917. The next prime is 6947. The reversal of 6944 is 4496.

6944 = T41 + T42 + ... + T47.

6944 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

Its product of digits (864) is a multiple of the sum of its prime factors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6947) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 209 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

26944 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 6944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

6944 is an abundant number, since it is smaller than the sum of its proper divisors (9184).

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

6944 is a wasteful number, since it uses less digits than its factorization.

6944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 6944 is about 83.3306666240. The cubic root of 6944 is about 19.0781636910.

The spelling of 6944 in words is "six thousand, nine hundred forty-four".