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12426768 = 243286297
BaseRepresentation
bin101111011001…
…111000010000
3212101100022200
4233121320100
511140124033
61122203200
7210424434
oct57317020
925340280
1012426768
117018462
1241b3500
132761323
1419169c4
151157013
hexbd9e10

12426768 has 30 divisors (see below), whose sum is σ = 34778094. Its totient is φ = 4142208.

The previous prime is 12426727. The next prime is 12426769. The reversal of 12426768 is 86762421.

12426768 is digitally balanced in base 2 and base 4, because in such bases 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., 7551504 + 4875264 = 2748^2 + 2208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12426769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43005 + ... + 43292.

Almost surely, 212426768 is an apocalyptic number.

12426768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12426768 is an abundant number, since it is smaller than the sum of its proper divisors (22351326).

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

12426768 is a wasteful number, since it uses less digits than its factorization.

12426768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86311 (or 86302 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12426768 is about 3525.1621239313. The cubic root of 12426768 is about 231.6253366108.

The spelling of 12426768 in words is "twelve million, four hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 86297 172594 258891 345188 517782 690376 776673 1035564 1380752 1553346 2071128 3106692 4142256 6213384 12426768