Base | Representation |
---|---|
bin | 101110111110… |
… | …011000001000 |
3 | 212011121210112 |
4 | 232332120020 |
5 | 11123022440 |
6 | 1115533452 |
7 | 206445140 |
oct | 56763010 |
9 | 25147715 |
10 | 12314120 |
11 | 6a50865 |
12 | 415a288 |
13 | 2721c80 |
14 | 18c7920 |
15 | 1133965 |
hex | bbe608 |
12314120 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3649536.
The previous prime is 12314083. The next prime is 12314123. The reversal of 12314120 is 2141321.
12314120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 12314095 and 12314104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12314123) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61781 + ... + 61979.
It is an arithmetic number, because the mean of its divisors is an integer number (283500).
Almost surely, 212314120 is an apocalyptic number.
12314120 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 12314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).
12314120 is an abundant number, since it is smaller than the sum of its proper divisors (23973880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12314120 is a wasteful number, since it uses less digits than its factorization.
12314120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 247 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 12314120 is about 3509.1480447539. The cubic root of 12314120 is about 230.9233205637.
Adding to 12314120 its reverse (2141321), we get a palindrome (14455441).
The spelling of 12314120 in words is "twelve million, three hundred fourteen thousand, one hundred twenty".
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