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5984664 = 23373727
BaseRepresentation
bin10110110101000110011000
3102021001102020
4112311012120
53013002124
6332134440
7101604000
oct26650630
912231366
105984664
113418404
122007420
13131702a
14b1b000
157d3379
hex5b5198

5984664 has 64 divisors (see below), whose sum is σ = 17472000. Its totient is φ = 1707552.

The previous prime is 5984659. The next prime is 5984681. The reversal of 5984664 is 4664895.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 7869 + ... + 8595.

It is an arithmetic number, because the mean of its divisors is an integer number (273000).

Almost surely, 25984664 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 5984664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736000).

5984664 is an abundant number, since it is smaller than the sum of its proper divisors (11487336).

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

5984664 is a wasteful number, since it uses less digits than its factorization.

5984664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 739 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 5984664 is about 2446.3572919752. The cubic root of 5984664 is about 181.5571085156.

The spelling of 5984664 in words is "five million, nine hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 727 1029 1176 1372 1454 2058 2181 2744 2908 4116 4362 5089 5816 8232 8724 10178 15267 17448 20356 30534 35623 40712 61068 71246 106869 122136 142492 213738 249361 284984 427476 498722 748083 854952 997444 1496166 1994888 2992332 5984664