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12287232 = 28325333
BaseRepresentation
bin101110110111…
…110100000000
3212010020220200
4232313310000
511121142412
61115205200
7206303556
oct56676400
925106820
1012287232
116a32641
124146800
132712969
1418bbbd6
15112a9dc
hexbb7d00

12287232 has 54 divisors (see below), whose sum is σ = 35433762. Its totient is φ = 4094976.

The previous prime is 12287201. The next prime is 12287269. The reversal of 12287232 is 23278221.

It is a happy number.

12287232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12278016 + 9216 = 3504^2 + 96^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12287196 and 12287205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363 + ... + 4970.

Almost surely, 212287232 is an apocalyptic number.

12287232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716881).

12287232 is an abundant number, since it is smaller than the sum of its proper divisors (23146530).

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

12287232 is an equidigital number, since it uses as much as digits as its factorization.

12287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5338 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12287232 is about 3505.3148218099. The cubic root of 12287232 is about 230.7551236505.

The spelling of 12287232 in words is "twelve million, two hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5333 10666 15999 21332 31998 42664 47997 63996 85328 95994 127992 170656 191988 255984 341312 383976 511968 682624 767952 1023936 1365248 1535904 2047872 3071808 4095744 6143616 12287232