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12426144 = 253129439
BaseRepresentation
bin101111011001…
…101110100000
3212101022110120
4233121232200
511140114034
61122200240
7210422553
oct57315640
925338416
1012426144
117017a45
1241b3080
132760c63
14191669a
151156c49
hexbd9ba0

12426144 has 24 divisors (see below), whose sum is σ = 32618880. Its totient is φ = 4142016.

The previous prime is 12426143. The next prime is 12426151. The reversal of 12426144 is 44162421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12426143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64624 + ... + 64815.

It is an arithmetic number, because the mean of its divisors is an integer number (1359120).

Almost surely, 212426144 is an apocalyptic number.

It is an amenable number.

12426144 is an abundant number, since it is smaller than the sum of its proper divisors (20192736).

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

12426144 is a wasteful number, since it uses less digits than its factorization.

12426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129452 (or 129444 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 12426144 is about 3525.0736162526. The cubic root of 12426144 is about 231.6214595869.

Adding to 12426144 its reverse (44162421), we get a palindrome (56588565).

The spelling of 12426144 in words is "twelve million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129439 258878 388317 517756 776634 1035512 1553268 2071024 3106536 4142048 6213072 12426144