Base | Representation |
---|---|
bin | 101111011101… |
… | …100001100000 |
3 | 212102002210120 |
4 | 233131201200 |
5 | 11141113241 |
6 | 1122400240 |
7 | 210516111 |
oct | 57354140 |
9 | 25362716 |
10 | 12441696 |
11 | 70286a3 |
12 | 4200080 |
13 | 2768067 |
14 | 191c208 |
15 | 115b666 |
hex | bdd860 |
12441696 has 96 divisors (see below), whose sum is σ = 34927200. Its totient is φ = 3870720.
The previous prime is 12441673. The next prime is 12441701. The reversal of 12441696 is 69614421.
12441696 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 is a tau number, because it is divible by the number of its divisors (96).
Its product of digits (10368) is a multiple of the sum of its prime factors (192).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114090 + ... + 114198.
It is an arithmetic number, because the mean of its divisors is an integer number (363825).
Almost surely, 212441696 is an apocalyptic number.
12441696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12441696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463600).
12441696 is an abundant number, since it is smaller than the sum of its proper divisors (22485504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12441696 is a wasteful number, since it uses less digits than its factorization.
12441696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 192 (or 184 counting only the distinct ones).
The product of its digits is 10368, while the sum is 33.
The square root of 12441696 is about 3527.2788378579. The cubic root of 12441696 is about 231.7180482849.
It can be divided in two parts, 124416 and 96, that multiplied together give a square (11943936 = 34562).
The spelling of 12441696 in words is "twelve million, four hundred forty-one thousand, six hundred ninety-six".
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