Base | Representation |
---|---|
bin | 100101010001000011000 |
3 | 2022001002120 |
4 | 10222020120 |
5 | 303034034 |
6 | 42101240 |
7 | 13244121 |
oct | 4521030 |
9 | 2261076 |
10 | 1221144 |
11 | 764511 |
12 | 4aa820 |
13 | 339a92 |
14 | 23b048 |
15 | 191c49 |
hex | 12a218 |
1221144 has 64 divisors (see below), whose sum is σ = 3356640. Its totient is φ = 368640.
The previous prime is 1221131. The next prime is 1221163. The reversal of 1221144 is 4411221.
1221144 = T147 + T148 + ... + T218.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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, 16692 + ... + 16764.
21221144 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 1221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678320).
1221144 is an abundant number, since it is smaller than the sum of its proper divisors (2135496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1221144 is a wasteful number, since it uses less digits than its factorization.
1221144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 140 (or 136 counting only the distinct ones).
The product of its digits is 64, while the sum is 15.
The square root of 1221144 is about 1105.0538448420. The cubic root of 1221144 is about 106.8863614337.
Adding to 1221144 its reverse (4411221), we get a palindrome (5632365).
The spelling of 1221144 in words is "one million, two hundred twenty-one thousand, one hundred forty-four".
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