Search a number
-
+
5984004 = 2231389431
BaseRepresentation
bin10110110100111100000100
3102021000111210
4112310330010
53012442004
6332131420
7101602035
oct26647404
912230453
105984004
113417964
122006b70
131316940
14b1aa8c
157d3089
hex5b4f04

5984004 has 48 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1816320.

The previous prime is 5983997. The next prime is 5984021. The reversal of 5984004 is 4004895.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13669 + ... + 14099.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 25984004 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 5984004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5984004 is an abundant number, since it is smaller than the sum of its proper divisors (9256956).

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

5984004 is a wasteful number, since it uses less digits than its factorization.

5984004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5984004 is about 2446.2223938146. Note that the first 3 decimals coincide. The cubic root of 5984004 is about 181.5504341171.

Adding to 5984004 its reverse (4004895), we get a palindrome (9988899).

The spelling of 5984004 in words is "five million, nine hundred eighty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 431 534 862 1068 1157 1293 1724 2314 2586 3471 4628 5172 5603 6942 11206 13884 16809 22412 33618 38359 67236 76718 115077 153436 230154 460308 498667 997334 1496001 1994668 2992002 5984004