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12440868 = 223113072
BaseRepresentation
bin101111011101…
…010100100100
3212102001122220
4233131110210
511141101433
61122352340
7210513516
oct57352444
925361586
1012440868
117028010
1241bb6b0
13276787b
14191bbb6
15115b2b3
hexbdd524

12440868 has 36 divisors (see below), whose sum is σ = 31771152. Its totient is φ = 3757680.

The previous prime is 12440867. The next prime is 12440873. The reversal of 12440868 is 86804421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12440863) 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 11 ways as a sum of consecutive naturals, for example, 40371 + ... + 40677.

It is an arithmetic number, because the mean of its divisors is an integer number (882532).

Almost surely, 212440868 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 12440868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885576).

12440868 is an abundant number, since it is smaller than the sum of its proper divisors (19330284).

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

12440868 is a wasteful number, since it uses less digits than its factorization.

12440868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12440868 is about 3527.1614649743. The cubic root of 12440868 is about 231.7129078603.

Multiplying 12440868 by its sum of digits (33), we get a square (410548644 = 202622).

12440868 divided by its sum of digits (33) gives a square (376996 = 6142).

The spelling of 12440868 in words is "twelve million, four hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 307 614 921 1228 1842 3377 3684 6754 10131 13508 20262 40524 94249 188498 282747 376996 565494 1036739 1130988 2073478 3110217 4146956 6220434 12440868