Search a number
-
+
5013320 = 2351331311
BaseRepresentation
bin10011000111111101001000
3100102200222112
4103013331020
52240411240
6255241452
760420044
oct23077510
910380875
105013320
112914644
121819288
131066b80
14947024
15690665
hex4c7f48

5013320 has 64 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1785600.

The previous prime is 5013311. The next prime is 5013331. The reversal of 5013320 is 233105.

5013320 = T1 + T2 + ... + T310.

5013320 is a nontrivial binomial coefficient, being equal to C(312, 3).

It is a junction number, because it is equal to n+sod(n) for n = 5013295 and 5013304.

It is an unprimeable number.

It is the 310-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15965 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 25013320 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 5013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

5013320 is an abundant number, since it is smaller than the sum of its proper divisors (7566520).

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

5013320 is a wasteful number, since it uses less digits than its factorization.

5013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 5013320 is about 2239.0444390409. The cubic root of 5013320 is about 171.1493058918.

Adding to 5013320 its reverse (233105), we get a palindrome (5246425).

The spelling of 5013320 in words is "five million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 311 403 520 620 622 806 1240 1244 1555 1612 2015 2488 3110 3224 4030 4043 6220 8060 8086 9641 12440 16120 16172 19282 20215 32344 38564 40430 48205 77128 80860 96410 125333 161720 192820 250666 385640 501332 626665 1002664 1253330 2506660 5013320