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5064 = 233211
BaseRepresentation
bin1001111001000
320221120
41033020
5130224
635240
720523
oct11710
96846
105064
113894
122b20
1323c7
141bba
151779
hex13c8

5064 has 16 divisors (see below), whose sum is σ = 12720. Its totient is φ = 1680.

The previous prime is 5059. The next prime is 5077. The reversal of 5064 is 4605.

Adding to 5064 its product of nonzero digits (120), we get a square (5184 = 722).

Adding to 5064 its reverse (4605), we get a palindrome (9669).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (795).

25064 is an apocalyptic number.

It is an amenable number.

5064 is an abundant number, since it is smaller than the sum of its proper divisors (7656).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360).

5064 is a wasteful number, since it uses less digits than its factorization.

5064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5064 is about 71.1617874986. The cubic root of 5064 is about 17.1724093438.

The spelling of 5064 in words is "five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 211 422 633 844 1266 1688 2532 5064