Base | Representation |
---|---|
bin | 101111000010… |
… | …100000000000 |
3 | 212012110222000 |
4 | 233002200000 |
5 | 11124043013 |
6 | 1120144000 |
7 | 206545314 |
oct | 57024000 |
9 | 25173860 |
10 | 12331008 |
11 | 6a62518 |
12 | 4168000 |
13 | 2729871 |
14 | 18cdb44 |
15 | 1138973 |
hex | bc2800 |
12331008 has 96 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 4091904.
The previous prime is 12330991. The next prime is 12331049. The reversal of 12331008 is 80013321.
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 (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55185 + ... + 55407.
It is an arithmetic number, because the mean of its divisors is an integer number (382200).
Almost surely, 212331008 is an apocalyptic number.
12331008 is a gapful number since it is divisible by the number (18) 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 12331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).
12331008 is an abundant number, since it is smaller than the sum of its proper divisors (24360192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12331008 is an equidigital number, since it uses as much as digits as its factorization.
12331008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 254 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 12331008 is about 3511.5535023690. The cubic root of 12331008 is about 231.0288376884.
Adding to 12331008 its reverse (80013321), we get a palindrome (92344329).
The spelling of 12331008 in words is "twelve million, three hundred thirty-one thousand, eight".
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