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67296 = 253701
BaseRepresentation
bin10000011011100000
310102022110
4100123200
54123141
61235320
7400125
oct203340
9112273
1067296
1146619
1232b40
1324828
141a74c
1514e16
hex106e0

67296 has 24 divisors (see below), whose sum is σ = 176904. Its totient is φ = 22400.

The previous prime is 67289. The next prime is 67307. The reversal of 67296 is 69276.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 255 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

267296 is an apocalyptic number.

It is an amenable number.

67296 is an abundant number, since it is smaller than the sum of its proper divisors (109608).

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 (88452).

67296 is a wasteful number, since it uses less digits than its factorization.

67296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 67296 is about 259.4147258735. The cubic root of 67296 is about 40.6752049915.

It can be divided in two parts, 67 and 296, that added together give a palindrome (363).

The spelling of 67296 in words is "sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 701 1402 2103 2804 4206 5608 8412 11216 16824 22432 33648 67296