Base | Representation |
---|---|
bin | 101110110111… |
… | …100001010000 |
3 | 212010012021020 |
4 | 232313201100 |
5 | 11121123112 |
6 | 1115155440 |
7 | 206300223 |
oct | 56674120 |
9 | 25105236 |
10 | 12286032 |
11 | 6a31750 |
12 | 4145b80 |
13 | 2712255 |
14 | 18bb5ba |
15 | 112a48c |
hex | bb7850 |
12286032 has 40 divisors (see below), whose sum is σ = 34625760. Its totient is φ = 3722880.
The previous prime is 12285997. The next prime is 12286033. The reversal of 12286032 is 23068221.
12286032 is digitally balanced in base 2 and base 4, because in such bases 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 (24).
It is a junction number, because it is equal to n+sod(n) for n = 12285993 and 12286011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12286033) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11107 + ... + 12162.
It is an arithmetic number, because the mean of its divisors is an integer number (865644).
Almost surely, 212286032 is an apocalyptic number.
12286032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12286032 is an abundant number, since it is smaller than the sum of its proper divisors (22339728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12286032 is a wasteful number, since it uses less digits than its factorization.
12286032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23291 (or 23285 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 12286032 is about 3505.1436489822. The cubic root of 12286032 is about 230.7476113764.
It can be divided in two parts, 1228 and 6032, that added together give a triangular number (7260 = T120).
The spelling of 12286032 in words is "twelve million, two hundred eighty-six thousand, thirty-two".
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