Base | Representation |
---|---|
bin | 100101010001000110000 |
3 | 2022001010110 |
4 | 10222020300 |
5 | 303034133 |
6 | 42101320 |
7 | 13244154 |
oct | 4521060 |
9 | 2261113 |
10 | 1221168 |
11 | 764533 |
12 | 4aa840 |
13 | 339ab0 |
14 | 23b064 |
15 | 191c63 |
hex | 12a230 |
1221168 has 80 divisors (see below), whose sum is σ = 3610880. Its totient is φ = 352512.
The previous prime is 1221167. The next prime is 1221193. The reversal of 1221168 is 8611221.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (1221163) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11805 + ... + 11907.
It is an arithmetic number, because the mean of its divisors is an integer number (45136).
21221168 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1221168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805440).
1221168 is an abundant number, since it is smaller than the sum of its proper divisors (2389712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1221168 is a wasteful number, since it uses less digits than its factorization.
1221168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 140 counting only the distinct ones).
The product of its digits is 192, while the sum is 21.
The square root of 1221168 is about 1105.0647039880. The cubic root of 1221168 is about 106.8870616666.
Adding to 1221168 its reverse (8611221), we get a palindrome (9832389).
It can be divided in two parts, 12 and 21168, that multiplied together give a square (254016 = 5042).
The spelling of 1221168 in words is "one million, two hundred twenty-one thousand, one hundred sixty-eight".
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