Base | Representation |
---|---|
bin | 101101110111… |
… | …001110000000 |
3 | 211121210222120 |
4 | 231313032000 |
5 | 11034211111 |
6 | 1105404240 |
7 | 204122322 |
oct | 55671600 |
9 | 24553876 |
10 | 12022656 |
11 | 6871888 |
12 | 4039680 |
13 | 264c3c9 |
14 | 184d612 |
15 | 10c7406 |
hex | b77380 |
12022656 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3960320.
The previous prime is 12022651. The next prime is 12022663. The reversal of 12022656 is 65622021.
12022656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12022651) 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, 50185 + ... + 50423.
It is an arithmetic number, because the mean of its divisors is an integer number (504900).
Almost surely, 212022656 is an apocalyptic number.
12022656 is a gapful number since it is divisible by the number (16) 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 12022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).
12022656 is an abundant number, since it is smaller than the sum of its proper divisors (20290944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12022656 is a wasteful number, since it uses less digits than its factorization.
12022656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 387 (or 375 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 12022656 is about 3467.3701850250. The cubic root of 12022656 is about 229.0868392964.
Adding to 12022656 its reverse (65622021), we get a palindrome (77644677).
The spelling of 12022656 in words is "twelve million, twenty-two thousand, six hundred fifty-six".
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