Base | Representation |
---|---|
bin | 111101011101101010110 |
3 | 10210022202000 |
4 | 13223231112 |
5 | 1003422123 |
6 | 111100130 |
7 | 23055555 |
oct | 7535526 |
9 | 3708660 |
10 | 2014038 |
11 | 11561a4 |
12 | 811646 |
13 | 556950 |
14 | 3a5d9c |
15 | 29bb43 |
hex | 1ebb56 |
2014038 has 64 divisors (see below), whose sum is σ = 5107200. Its totient is φ = 583200.
The previous prime is 2014031. The next prime is 2014049. The reversal of 2014038 is 8304102.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 2014038.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2014031) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13263 + ... + 13413.
It is an arithmetic number, because the mean of its divisors is an integer number (79800).
22014038 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2014038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553600).
2014038 is an abundant number, since it is smaller than the sum of its proper divisors (3093162).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2014038 is a wasteful number, since it uses less digits than its factorization.
2014038 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 194 (or 188 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2014038 is about 1419.1680661571. The cubic root of 2014038 is about 126.2861975088.
Subtracting 2014038 from its reverse (8304102), we obtain a square (6290064 = 25082).
The spelling of 2014038 in words is "two million, fourteen thousand, thirty-eight".
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