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12288307 = 19312673
BaseRepresentation
bin101110111000…
…000100110011
3212010022101111
4232320010303
511121211212
61115214151
7206306653
oct56700463
925108344
1012288307
116a33429
124147357
1327132b5
1418bc363
15112aea7
hexbb8133

12288307 has 12 divisors (see below), whose sum is σ = 13385640. Its totient is φ = 11249280.

The previous prime is 12288301. The next prime is 12288313. The reversal of 12288307 is 70388221.

12288307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12288301) and next prime (12288313).

It is not a de Polignac number, because 12288307 - 23 = 12288299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12288301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17923 + ... + 18595.

It is an arithmetic number, because the mean of its divisors is an integer number (1115470).

Almost surely, 212288307 is an apocalyptic number.

12288307 is a deficient number, since it is larger than the sum of its proper divisors (1097333).

12288307 is an equidigital number, since it uses as much as digits as its factorization.

12288307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 12288307 is about 3505.4681570369. The cubic root of 12288307 is about 230.7618529807.

The spelling of 12288307 in words is "twelve million, two hundred eighty-eight thousand, three hundred seven".

Divisors: 1 19 31 589 673 961 12787 18259 20863 396397 646753 12288307