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12307264 = 261031867
BaseRepresentation
bin101110111100…
…101101000000
3212011021101121
4232330231000
511122313024
61115442024
7206416144
oct56745500
925137347
1012307264
116a466a2
124156314
13271bb08
1418c5224
1511318e4
hexbbcb40

12307264 has 28 divisors (see below), whose sum is σ = 24672544. Its totient is φ = 6090624.

The previous prime is 12307261. The next prime is 12307271. The reversal of 12307264 is 46270321.

12307264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12307261) 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, 5659 + ... + 7525.

Almost surely, 212307264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336272).

12307264 is an abundant number, since it is smaller than the sum of its proper divisors (12365280).

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

12307264 is a wasteful number, since it uses less digits than its factorization.

12307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 12307264 is about 3508.1710334589. The cubic root of 12307264 is about 230.8804563774.

Adding to 12307264 its reverse (46270321), we get a palindrome (58577585).

The spelling of 12307264 in words is "twelve million, three hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 1867 3296 3734 6592 7468 14936 29872 59744 119488 192301 384602 769204 1538408 3076816 6153632 12307264