Base | Representation |
---|---|
bin | 101110111010… |
… | …011001100000 |
3 | 212010210102222 |
4 | 232322121200 |
5 | 11122012244 |
6 | 1115330212 |
7 | 206346500 |
oct | 56723140 |
9 | 25123388 |
10 | 12297824 |
11 | 6a3a5a0 |
12 | 4150968 |
13 | 2717726 |
14 | 18c1a00 |
15 | 112dbee |
hex | bba660 |
12297824 has 144 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 4435200.
The previous prime is 12297823. The next prime is 12297829. The reversal of 12297824 is 42879221.
12297824 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.
12297824 is strictly pandigital in base 8.
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12297821) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396689 + ... + 396719.
It is an arithmetic number, because the mean of its divisors is an integer number (229824).
Almost surely, 212297824 is an apocalyptic number.
12297824 is a gapful number since it is divisible by the number (14) 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 12297824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).
12297824 is an abundant number, since it is smaller than the sum of its proper divisors (20796832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12297824 is a wasteful number, since it uses less digits than its factorization.
12297824 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 89 (or 74 counting only the distinct ones).
The product of its digits is 16128, while the sum is 35.
The square root of 12297824 is about 3506.8253449523. The cubic root of 12297824 is about 230.8214107874.
The spelling of 12297824 in words is "twelve million, two hundred ninety-seven thousand, eight hundred twenty-four".
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