Base | Representation |
---|---|
bin | 111111000101011100000 |
3 | 10220000121210 |
4 | 13320223200 |
5 | 1012122133 |
6 | 112150120 |
7 | 23366505 |
oct | 7705340 |
9 | 3800553 |
10 | 2067168 |
11 | 1192104 |
12 | 838340 |
13 | 574b9c |
14 | 3bb4ac |
15 | 2ac763 |
hex | 1f8ae0 |
2067168 has 48 divisors (see below), whose sum is σ = 5530896. Its totient is φ = 675840.
The previous prime is 2067137. The next prime is 2067187. The reversal of 2067168 is 8617602.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5680 + ... + 6032.
It is an arithmetic number, because the mean of its divisors is an integer number (115227).
22067168 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 2067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765448).
2067168 is an abundant number, since it is smaller than the sum of its proper divisors (3463728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2067168 is a wasteful number, since it uses less digits than its factorization.
2067168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 427 (or 419 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 30.
The square root of 2067168 is about 1437.7649321082. The cubic root of 2067168 is about 127.3870433638.
The spelling of 2067168 in words is "two million, sixty-seven thousand, one hundred sixty-eight".
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