Base | Representation |
---|---|
bin | 101101110011… |
… | …011110010010 |
3 | 211121000221100 |
4 | 231303132102 |
5 | 11033213224 |
6 | 1105205230 |
7 | 204026514 |
oct | 55633622 |
9 | 24530840 |
10 | 12007314 |
11 | 6861300 |
12 | 4030816 |
13 | 2645427 |
14 | 1847bb4 |
15 | 10c2ac9 |
hex | b73792 |
12007314 has 72 divisors (see below), whose sum is σ = 29565900. Its totient is φ = 3516480.
The previous prime is 12007313. The next prime is 12007327. The reversal of 12007314 is 41370021.
It can be written as a sum of positive squares in 2 ways, for example, as 12006225 + 1089 = 3465^2 + 33^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (12007313) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80512 + ... + 80660.
Almost surely, 212007314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12007314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782950).
12007314 is an abundant number, since it is smaller than the sum of its proper divisors (17558586).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12007314 is a wasteful number, since it uses less digits than its factorization.
12007314 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 216 (or 202 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 12007314 is about 3465.1571392940. The cubic root of 12007314 is about 228.9893526193.
Adding to 12007314 its reverse (41370021), we get a palindrome (53377335).
It can be divided in two parts, 12007 and 314, that added together give a palindrome (12321).
The spelling of 12007314 in words is "twelve million, seven thousand, three hundred fourteen".
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