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12277264 = 241745137
BaseRepresentation
bin101110110101…
…011000010000
3212002202020111
4232311120100
511120333024
61115051104
7206232526
oct56653020
925082214
1012277264
116a260aa
124140a94
13270b26c
1418b8316
151127a94
hexbb5610

12277264 has 20 divisors (see below), whose sum is σ = 25187004. Its totient is φ = 5777408.

The previous prime is 12277261. The next prime is 12277267. The reversal of 12277264 is 46277221.

It is an interprime number because it is at equal distance from previous prime (12277261) and next prime (12277267).

It can be written as a sum of positive squares in 2 ways, for example, as 5475600 + 6801664 = 2340^2 + 2608^2 .

It is a super-2 number, since 2×122772642 = 301462422651392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12277261) 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, 22297 + ... + 22840.

Almost surely, 212277264 is an apocalyptic number.

It is an amenable number.

12277264 is an abundant number, since it is smaller than the sum of its proper divisors (12909740).

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

12277264 is a wasteful number, since it uses less digits than its factorization.

12277264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45162 (or 45156 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 12277264 is about 3503.8926924208. The cubic root of 12277264 is about 230.6927068437.

The spelling of 12277264 in words is "twelve million, two hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 45137 90274 180548 361096 722192 767329 1534658 3069316 6138632 12277264