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13064 = 232371
BaseRepresentation
bin11001100001000
3122220212
43030020
5404224
6140252
753042
oct31410
918825
1013064
1198a7
127688
135c3c
144a92
153d0e
hex3308

13064 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 6160.

The previous prime is 13063. The next prime is 13093. The reversal of 13064 is 46031.

13064 is a Gilda number.

It is not an unprimeable number, because it can be changed into a prime (13063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 219.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

213064 is an apocalyptic number.

It is an amenable number.

13064 is a deficient number, since it is larger than the sum of its proper divisors (12856).

13064 is a wasteful number, since it uses less digits than its factorization.

13064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13064 is about 114.2978564978. The cubic root of 13064 is about 23.5518697343.

Adding to 13064 its reverse (46031), we get a palindrome (59095).

The spelling of 13064 in words is "thirteen thousand, sixty-four".

Divisors: 1 2 4 8 23 46 71 92 142 184 284 568 1633 3266 6532 13064