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12764256 = 253132961
BaseRepresentation
bin110000101100…
…010001100000
3220000111021020
4300230101200
511231424011
61133325440
7213331401
oct60542140
926014236
1012764256
117228a7a
124336880
13284bb1b
1419a39a8
1511c2006
hexc2c460

12764256 has 24 divisors (see below), whose sum is σ = 33506424. Its totient is φ = 4254720.

The previous prime is 12764251. The next prime is 12764261. The reversal of 12764256 is 65246721.

It is an interprime number because it is at equal distance from previous prime (12764251) and next prime (12764261).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12764251) 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, 66385 + ... + 66576.

It is an arithmetic number, because the mean of its divisors is an integer number (1396101).

Almost surely, 212764256 is an apocalyptic number.

12764256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12764256 is an abundant number, since it is smaller than the sum of its proper divisors (20742168).

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

12764256 is a wasteful number, since it uses less digits than its factorization.

12764256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132974 (or 132966 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 12764256 is about 3572.7098958634. The cubic root of 12764256 is about 233.7034742064.

The spelling of 12764256 in words is "twelve million, seven hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 132961 265922 398883 531844 797766 1063688 1595532 2127376 3191064 4254752 6382128 12764256