Search a number
-
+
5128830 = 2325721163
BaseRepresentation
bin10011100100001001111110
3100122120102200
4103210021332
52303110310
6301532330
761410600
oct23441176
910576380
105128830
112993403
1218740a6
1310a7615
14977170
156b49c0
hex4e427e

5128830 has 72 divisors (see below), whose sum is σ = 15525432. Its totient is φ = 1171296.

The previous prime is 5128817. The next prime is 5128847. The reversal of 5128830 is 388215.

It is a happy number.

5128830 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5128794 and 5128803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3829 + ... + 4991.

It is an arithmetic number, because the mean of its divisors is an integer number (215631).

Almost surely, 25128830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762716).

5128830 is an abundant number, since it is smaller than the sum of its proper divisors (10396602).

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

5128830 is a wasteful number, since it uses less digits than its factorization.

5128830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5128830 is about 2264.6920320432. The cubic root of 5128830 is about 172.4537998518.

The spelling of 5128830 in words is "five million, one hundred twenty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1163 1470 2205 2326 3489 4410 5815 6978 8141 10467 11630 16282 17445 20934 24423 34890 40705 48846 52335 56987 73269 81410 104670 113974 122115 146538 170961 244230 284935 341922 366345 512883 569870 732690 854805 1025766 1709610 2564415 5128830