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12256065 = 3251737433
BaseRepresentation
bin101110110000…
…001101000001
3212001200011100
4232300031001
511114143230
61114405013
7206113653
oct56601501
925050140
1012256065
116a11188
124130769
132701713
1418b06d3
151121660
hexbb0341

12256065 has 48 divisors (see below), whose sum is σ = 23154768. Its totient is φ = 5971968.

The previous prime is 12256051. The next prime is 12256081. The reversal of 12256065 is 56065221.

It can be written as a sum of positive squares in 8 ways, for example, as 82944 + 12173121 = 288^2 + 3489^2 .

It is not a de Polignac number, because 12256065 - 26 = 12256001 is a prime.

It is a super-2 number, since 2×122560652 = 300422258568450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28089 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 212256065 is an apocalyptic number.

12256065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12256065 is a deficient number, since it is larger than the sum of its proper divisors (10898703).

12256065 is a wasteful number, since it uses less digits than its factorization.

12256065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12256065 is about 3500.8663213553. The cubic root of 12256065 is about 230.5598522664.

The spelling of 12256065 in words is "twelve million, two hundred fifty-six thousand, sixty-five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 333 433 555 629 765 1299 1665 1887 2165 3145 3897 5661 6495 7361 9435 16021 19485 22083 28305 36805 48063 66249 80105 110415 144189 240315 272357 331245 720945 817071 1361785 2451213 4085355 12256065