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12257968 = 24809947
BaseRepresentation
bin101110110000…
…101010110000
3212001202202211
4232300222300
511114223333
61114421504
7206122342
oct56605260
925052684
1012257968
116a12658
124131894
132702548
1418b1292
151121ecd
hexbb0ab0

12257968 has 20 divisors (see below), whose sum is σ = 23804280. Its totient is φ = 6114944.

The previous prime is 12257963. The next prime is 12257977. The reversal of 12257968 is 86975221.

It is a self number, because there is not a number n which added to its sum of digits gives 12257968.

It is not an unprimeable number, because it can be changed into a prime (12257963) 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, 12471 + ... + 13417.

It is an arithmetic number, because the mean of its divisors is an integer number (1190214).

Almost surely, 212257968 is an apocalyptic number.

It is an amenable number.

12257968 is a deficient number, since it is larger than the sum of its proper divisors (11546312).

12257968 is an equidigital number, since it uses as much as digits as its factorization.

12257968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 12257968 is about 3501.1381006753. The cubic root of 12257968 is about 230.5717846632.

It can be divided in two parts, 12257 and 968, that added together give a square (13225 = 1152).

The spelling of 12257968 in words is "twelve million, two hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 809 947 1618 1894 3236 3788 6472 7576 12944 15152 766123 1532246 3064492 6128984 12257968