5120 has 22 divisors (see below), whose sum is σ = 12282. Its totient is φ = 2048.

The previous prime is 5119. The next prime is 5147. The reversal of 5120 is 215.

5120 divided by its product of nonzero digits (10) gives a 9-th power (512 = 2^{9}).

Adding to 5120 its reverse (215), we get a palindrome (5335).

It can be divided in two parts, 5 and 120, that added together give a cube (125 = 5^{3}).

It can be written as a sum of positive squares in only one way, i.e., 4096 + 1024 = 64^2 + 32^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=5, B=4.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 5098 and 5107.

It is a congruent number.

It is an unprimeable number.

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

In principle, a polygon with 5120 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, 1022 + ... + 1026.

5120 is a Friedman number, since it can be written as 5*2^10, using all its digits and the basic arithmetic operations.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141).

5120 is an abundant number, since it is smaller than the sum of its proper divisors (7162).

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

5120 is an equidigital number, since it uses as much as digits as its factorization.

5120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 5120 is about 71.5541752800. The cubic root of 5120 is about 17.2354775203.

The spelling of 5120 in words is "five thousand, one hundred twenty".

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