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12895968 = 253134333
BaseRepresentation
bin110001001100…
…011011100000
3220021011221110
4301030123200
511300132333
61140223320
7214420401
oct61143340
926234843
1012895968
117308a28
12439ab40
132896a67
1419d99a8
1511eb063
hexc4c6e0

12895968 has 24 divisors (see below), whose sum is σ = 33852168. Its totient is φ = 4298624.

The previous prime is 12895963. The next prime is 12895997. The reversal of 12895968 is 86959821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12895963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67071 + ... + 67262.

It is an arithmetic number, because the mean of its divisors is an integer number (1410507).

Almost surely, 212895968 is an apocalyptic number.

It is an amenable number.

12895968 is an abundant number, since it is smaller than the sum of its proper divisors (20956200).

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

12895968 is a wasteful number, since it uses less digits than its factorization.

12895968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134346 (or 134338 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 12895968 is about 3591.0956545322. The cubic root of 12895968 is about 234.5045726912.

The spelling of 12895968 in words is "twelve million, eight hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 134333 268666 402999 537332 805998 1074664 1611996 2149328 3223992 4298656 6447984 12895968