Base | Representation |
---|---|
bin | 101111001100… |
… | …010010111000 |
3 | 212021111222221 |
4 | 233030102320 |
5 | 11131334003 |
6 | 1121053424 |
7 | 210103300 |
oct | 57142270 |
9 | 25244887 |
10 | 12371128 |
11 | 6a8a680 |
12 | 4187274 |
13 | 2741bc3 |
14 | 1900600 |
15 | 11457bd |
hex | bcc4b8 |
12371128 has 96 divisors (see below), whose sum is σ = 31190400. Its totient is φ = 4536000.
The previous prime is 12371123. The next prime is 12371137. The reversal of 12371128 is 82117321.
It is a happy number.
12371128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a plaindrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12371123) 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, 81853 + ... + 82003.
It is an arithmetic number, because the mean of its divisors is an integer number (324900).
Almost surely, 212371128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12371128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595200).
12371128 is an abundant number, since it is smaller than the sum of its proper divisors (18819272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12371128 is a wasteful number, since it uses less digits than its factorization.
12371128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 201 (or 190 counting only the distinct ones).
The product of its digits is 672, while the sum is 25.
The square root of 12371128 is about 3517.2614346960. The cubic root of 12371128 is about 231.2791238703.
Adding to 12371128 its reverse (82117321), we get a palindrome (94488449).
The spelling of 12371128 in words is "twelve million, three hundred seventy-one thousand, one hundred twenty-eight".
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