Base | Representation |
---|---|
bin | 101110110001… |
… | …111011000000 |
3 | 212002000211001 |
4 | 232301323000 |
5 | 11114404404 |
6 | 1114501344 |
7 | 206143330 |
oct | 56617300 |
9 | 25060731 |
10 | 12263104 |
11 | 6a164a7 |
12 | 4134854 |
13 | 2704999 |
14 | 18b30c0 |
15 | 11237a4 |
hex | bb1ec0 |
12263104 has 56 divisors (see below), whose sum is σ = 28740608. Its totient is φ = 5080320.
The previous prime is 12263101. The next prime is 12263123. The reversal of 12263104 is 40136221.
12263104 is digitally balanced in base 2, because in such base 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 (56).
It is not an unprimeable number, because it can be changed into a prime (12263101) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13447 + ... + 14329.
Almost surely, 212263104 is an apocalyptic number.
12263104 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 12263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370304).
12263104 is an abundant number, since it is smaller than the sum of its proper divisors (16477504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12263104 is an equidigital number, since it uses as much as digits as its factorization.
12263104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 933 (or 923 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
The square root of 12263104 is about 3501.8714996413. The cubic root of 12263104 is about 230.6039828038.
Adding to 12263104 its reverse (40136221), we get a palindrome (52399325).
The spelling of 12263104 in words is "twelve million, two hundred sixty-three thousand, one hundred four".
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