Base | Representation |
---|---|
bin | 101110011001… |
… | …101100000000 |
3 | 211212222122121 |
4 | 232121230000 |
5 | 11103220330 |
6 | 1112414024 |
7 | 205251043 |
oct | 56315400 |
9 | 24788577 |
10 | 12163840 |
11 | 6958967 |
12 | 40a7314 |
13 | 269b750 |
14 | 1888c5a |
15 | 110417a |
hex | b99b00 |
12163840 has 144 divisors (see below), whose sum is σ = 33995808. Its totient is φ = 4128768.
The previous prime is 12163831. The next prime is 12163841. The reversal of 12163840 is 4836121.
It is a super-3 number, since 3×121638403 (a number of 22 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (12163841) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282859 + ... + 282901.
It is an arithmetic number, because the mean of its divisors is an integer number (236082).
Almost surely, 212163840 is an apocalyptic number.
12163840 is a gapful number since it is divisible by the number (10) 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 12163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997904).
12163840 is an abundant number, since it is smaller than the sum of its proper divisors (21831968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12163840 is a wasteful number, since it uses less digits than its factorization.
12163840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 94 (or 80 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 25.
The square root of 12163840 is about 3487.6697091324. The cubic root of 12163840 is about 229.9800864927.
Adding to 12163840 its reverse (4836121), we get a palindrome (16999961).
It can be divided in two parts, 1 and 2163840, that added together give a square (2163841 = 14712).
The spelling of 12163840 in words is "twelve million, one hundred sixty-three thousand, eight hundred forty".
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