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5440 = 26517
BaseRepresentation
bin1010101000000
321110111
41111000
5133230
641104
721601
oct12500
97414
105440
1140a6
123194
132626
141da8
15192a
hex1540

5440 has 28 divisors (see below), whose sum is σ = 13716. Its totient is φ = 2048.

The previous prime is 5437. The next prime is 5441. The reversal of 5440 is 445.

Adding to 5440 its reverse (445), we get a palindrome (5885).

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 2304 = 56^2 + 48^2 .

5440 is an undulating number in base 13.

It is a nialpdrome in base 4 and base 10.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 5440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441) by changing a digit.

In principle, a polygon with 5440 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312 + ... + 328.

25440 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 5440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858).

5440 is an abundant number, since it is smaller than the sum of its proper divisors (8276).

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

5440 is a wasteful number, since it uses less digits than its factorization.

5440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 5440 is about 73.7563556583. The cubic root of 5440 is about 17.5873186886.

The spelling of 5440 in words is "five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440