Base | Representation |
---|---|
bin | 1000001010111110100010 |
3 | 11000211102120 |
4 | 20022332202 |
5 | 1022021424 |
6 | 113525110 |
7 | 24131142 |
oct | 10127642 |
9 | 4024376 |
10 | 2142114 |
11 | 1233447 |
12 | 873796 |
13 | 5a0030 |
14 | 3da922 |
15 | 2c4a79 |
hex | 20afa2 |
2142114 has 32 divisors (see below), whose sum is σ = 4777920. Its totient is φ = 635712.
The previous prime is 2142097. The next prime is 2142121. The reversal of 2142114 is 4112412.
It is a Curzon number.
It is a plaindrome in base 11.
It is a junction number, because it is equal to n+sod(n) for n = 2142093 and 2142102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789 + ... + 2735.
It is an arithmetic number, because the mean of its divisors is an integer number (149310).
22142114 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2142114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388960).
2142114 is an abundant number, since it is smaller than the sum of its proper divisors (2635806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142114 is a wasteful number, since it uses less digits than its factorization.
2142114 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 994.
The product of its digits is 64, while the sum is 15.
The square root of 2142114 is about 1463.5962558028. The cubic root of 2142114 is about 128.9082936940.
Adding to 2142114 its reverse (4112412), we get a palindrome (6254526).
The spelling of 2142114 in words is "two million, one hundred forty-two thousand, one hundred fourteen".
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