Search a number
-
+
5023120 = 245371697
BaseRepresentation
bin10011001010010110010000
3100110012102111
4103022112100
52241214440
6255355104
760460444
oct23122620
910405374
105023120
112920a43
121822a94
13106b47b
1494a824
156934ea
hex4ca590

5023120 has 40 divisors (see below), whose sum is σ = 12001464. Its totient is φ = 1953792.

The previous prime is 5023111. The next prime is 5023121. The reversal of 5023120 is 213205.

It can be written as a sum of positive squares in 4 ways, for example, as 2808976 + 2214144 = 1676^2 + 1488^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5023120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5023121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112 + ... + 3808.

Almost surely, 25023120 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 5023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000732).

5023120 is an abundant number, since it is smaller than the sum of its proper divisors (6978344).

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

5023120 is a wasteful number, since it uses less digits than its factorization.

5023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5023120 is about 2241.2318041648. The cubic root of 5023120 is about 171.2607537602.

Adding to 5023120 its reverse (213205), we get a palindrome (5236325).

The spelling of 5023120 in words is "five million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 1697 2960 3394 6788 8485 13576 16970 27152 33940 62789 67880 125578 135760 251156 313945 502312 627890 1004624 1255780 2511560 5023120