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13067064 = 2332971871
BaseRepresentation
bin110001110110…
…001100111000
3220120212122100
4301312030320
511321121224
61144023400
7216032253
oct61661470
926525570
1013067064
11741552a
124461b60
1329268ba
141a4209a
151231ac9
hexc76338

13067064 has 48 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 4308480.

The previous prime is 13067063. The next prime is 13067099. The reversal of 13067064 is 46076031.

13067064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6049 + ... + 7919.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 213067064 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 13067064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

13067064 is an abundant number, since it is smaller than the sum of its proper divisors (22706856).

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

13067064 is a wasteful number, since it uses less digits than its factorization.

13067064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13067064 is about 3614.8394155204. The cubic root of 13067064 is about 235.5371085722.

The spelling of 13067064 in words is "thirteen million, sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 1871 2328 3492 3742 5613 6984 7484 11226 14968 16839 22452 33678 44904 67356 134712 181487 362974 544461 725948 1088922 1451896 1633383 2177844 3266766 4355688 6533532 13067064