Search a number
-
+
5985084 = 2237431657
BaseRepresentation
bin10110110101001100111100
3102021001222210
4112311030330
53013010314
6332140420
7101605140
oct26651474
912231883
105985084
113418756
122007710
131317291
14b1b220
157d3559
hex5b533c

5985084 has 48 divisors (see below), whose sum is σ = 16341248. Its totient is φ = 1669248.

The previous prime is 5985073. The next prime is 5985103. The reversal of 5985084 is 4805895.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784 + ... + 4440.

Almost surely, 25985084 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 5985084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170624).

5985084 is an abundant number, since it is smaller than the sum of its proper divisors (10356164).

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

5985084 is a wasteful number, since it uses less digits than its factorization.

5985084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5985084 is about 2446.4431323863. The cubic root of 5985084 is about 181.5613556046.

The spelling of 5985084 in words is "five million, nine hundred eighty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1657 1806 3314 3612 4971 6628 9942 11599 19884 23198 34797 46396 69594 71251 139188 142502 213753 285004 427506 498757 855012 997514 1496271 1995028 2992542 5985084