Search a number
-
+
13067168 = 252914081
BaseRepresentation
bin110001110110…
…001110100000
3220120212210012
4301312032200
511321122133
61144024052
7216032462
oct61661640
926525705
1013067168
117415614
124462028
13292696a
141a42132
151231b48
hexc763a0

13067168 has 24 divisors (see below), whose sum is σ = 26614980. Its totient is φ = 6307840.

The previous prime is 13067167. The next prime is 13067273. The reversal of 13067168 is 86176031.

It can be written as a sum of positive squares in 2 ways, for example, as 12588304 + 478864 = 3548^2 + 692^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067167) 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 3 ways as a sum of consecutive naturals, for example, 6113 + ... + 7968.

Almost surely, 213067168 is an apocalyptic number.

It is an amenable number.

13067168 is an abundant number, since it is smaller than the sum of its proper divisors (13547812).

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

13067168 is a wasteful number, since it uses less digits than its factorization.

13067168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13067168 is about 3614.8538006398. The cubic root of 13067168 is about 235.5377334459.

The spelling of 13067168 in words is "thirteen million, sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 14081 28162 56324 112648 225296 408349 450592 816698 1633396 3266792 6533584 13067168