Base | Representation |
---|---|
bin | 111101011001101111000 |
3 | 10210012222102 |
4 | 13223031320 |
5 | 1003341044 |
6 | 111042532 |
7 | 23046650 |
oct | 7531570 |
9 | 3705872 |
10 | 2012024 |
11 | 1154733 |
12 | 810448 |
13 | 555a61 |
14 | 3a5360 |
15 | 29b24e |
hex | 1eb378 |
2012024 has 64 divisors (see below), whose sum is σ = 4761600. Its totient is φ = 777600.
The previous prime is 2012011. The next prime is 2012027. The reversal of 2012024 is 4202102.
It is a junction number, because it is equal to n+sod(n) for n = 2011996 and 2012014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2012027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32954 + ... + 33014.
It is an arithmetic number, because the mean of its divisors is an integer number (74400).
22012024 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 2012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380800).
2012024 is an abundant number, since it is smaller than the sum of its proper divisors (2749576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2012024 is a wasteful number, since it uses less digits than its factorization.
2012024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124 (or 120 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 2012024 is about 1418.4583180341. The cubic root of 2012024 is about 126.2440888648.
Adding to 2012024 its reverse (4202102), we get a palindrome (6214126).
The spelling of 2012024 in words is "two million, twelve thousand, twenty-four".
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