Search a number
-
+
5564320 = 25583419
BaseRepresentation
bin10101001110011110100000
3101110200210221
4111032132200
52411024240
6315132424
765203336
oct25163640
911420727
105564320
113160613
121a44114
1311ca8c8
14a4bb56
1574da4a
hex54e7a0

5564320 has 48 divisors (see below), whose sum is σ = 13335840. Its totient is φ = 2193664.

The previous prime is 5564297. The next prime is 5564323. The reversal of 5564320 is 234655.

5564320 = T2 + T3 + ... + T321.

5564320 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (5564323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13071 + ... + 13489.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 25564320 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 5564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667920).

5564320 is an abundant number, since it is smaller than the sum of its proper divisors (7771520).

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

5564320 is a wasteful number, since it uses less digits than its factorization.

5564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5564320 is about 2358.8810906869. The cubic root of 5564320 is about 177.2028487161.

Adding to 5564320 its reverse (234655), we get a palindrome (5798975).

The spelling of 5564320 in words is "five million, five hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 419 664 830 838 1328 1660 1676 2095 2656 3320 3352 4190 6640 6704 8380 13280 13408 16760 33520 34777 67040 69554 139108 173885 278216 347770 556432 695540 1112864 1391080 2782160 5564320