Base | Representation |
---|---|
bin | 101101111001… |
… | …101011001000 |
3 | 211122022210000 |
4 | 231321223020 |
5 | 11040021322 |
6 | 1105523000 |
7 | 204163536 |
oct | 55715310 |
9 | 24568700 |
10 | 12032712 |
11 | 687939a |
12 | 4043460 |
13 | 2653b63 |
14 | 1853156 |
15 | 10ca3ac |
hex | b79ac8 |
12032712 has 80 divisors (see below), whose sum is σ = 34848000. Its totient is φ = 3875040.
The previous prime is 12032707. The next prime is 12032717. The reversal of 12032712 is 21723021.
It is an interprime number because it is at equal distance from previous prime (12032707) and next prime (12032717).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12032717) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19789 + ... + 20387.
It is an arithmetic number, because the mean of its divisors is an integer number (435600).
Almost surely, 212032712 is an apocalyptic number.
12032712 is a gapful number since it is divisible by the number (12) 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 12032712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424000).
12032712 is an abundant number, since it is smaller than the sum of its proper divisors (22815288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12032712 is a wasteful number, since it uses less digits than its factorization.
12032712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 648 (or 635 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 12032712 is about 3468.8199722672. The cubic root of 12032712 is about 229.1506924990.
Adding to 12032712 its reverse (21723021), we get a palindrome (33755733).
The spelling of 12032712 in words is "twelve million, thirty-two thousand, seven hundred twelve".
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