Search a number
-
+
5520 = 243523

5520 has 40 divisors (see below), whose sum is σ = 17856. Its totient is φ = 1408.

The previous prime is 5519. The next prime is 5521. The reversal of 5520 is 255.

Adding to 5520 its reverse (255), we get a palindrome (5775).

It can be divided in two parts, 5 and 520, that added together give a palindrome (525).

5520 = 32 + 42 + ... + 252.

It is an interprime number because it is at equal distance from previous prime (5519) and next prime (5521).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5496 and 5505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5520.

It is not an unprimeable number, because it can be changed into a prime (5521) 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 7 ways as a sum of consecutive naturals, for example, 229 + ... + 251.

25520 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 5520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928).

5520 is an abundant number, since it is smaller than the sum of its proper divisors (12336).

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

5520 is a wasteful number, since it uses less digits than its factorization.

5520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 5520 is about 74.2967024840. The cubic root of 5520 is about 17.6731118448.

The spelling of 5520 in words is "five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520