Base | Representation |
---|---|
bin | 101110110001… |
… | …111010000000 |
3 | 212002000201200 |
4 | 232301322000 |
5 | 11114404130 |
6 | 1114501200 |
7 | 206143206 |
oct | 56617200 |
9 | 25060650 |
10 | 12263040 |
11 | 6a16449 |
12 | 4134800 |
13 | 270494a |
14 | 18b3076 |
15 | 1123760 |
hex | bb1e80 |
12263040 has 96 divisors (see below), whose sum is σ = 42365700. Its totient is φ = 3268608.
The previous prime is 12263039. The next prime is 12263057. The reversal of 12263040 is 4036221.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 484416 = 3432^2 + 696^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4696 + ... + 6824.
Almost surely, 212263040 is an apocalyptic number.
12263040 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 12263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182850).
12263040 is an abundant number, since it is smaller than the sum of its proper divisors (30102660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12263040 is a wasteful number, since it uses less digits than its factorization.
12263040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2154 (or 2139 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 12263040 is about 3501.8623616584. The cubic root of 12263040 is about 230.6035816362.
Adding to 12263040 its reverse (4036221), we get a palindrome (16299261).
The spelling of 12263040 in words is "twelve million, two hundred sixty-three thousand, forty".
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