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5984964 = 2232832003
BaseRepresentation
bin10110110101001011000100
3102021001211100
4112311023010
53013004324
6332140100
7101604606
oct26651304
912231740
105984964
113418657
122007630
1313171cb
14b1b176
157d34c9
hex5b52c4

5984964 has 36 divisors (see below), whose sum is σ = 15318576. Its totient is φ = 1969968.

The previous prime is 5984963. The next prime is 5984971. The reversal of 5984964 is 4694895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (5984963) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1987 + ... + 3989.

It is an arithmetic number, because the mean of its divisors is an integer number (425516).

Almost surely, 25984964 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 5984964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659288).

5984964 is an abundant number, since it is smaller than the sum of its proper divisors (9333612).

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

5984964 is a wasteful number, since it uses less digits than its factorization.

5984964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2091 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5984964 is about 2446.4186068619. The cubic root of 5984964 is about 181.5601421708.

Subtracting from 5984964 its product of digits (311040), we obtain a square (5673924 = 23822).

The spelling of 5984964 in words is "five million, nine hundred eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2003 2988 4006 6009 8012 12018 18027 24036 36054 72108 166249 332498 498747 664996 997494 1496241 1994988 2992482 5984964