Base | Representation |
---|---|
bin | 1000000011101010000100 |
3 | 10222022022010 |
4 | 20003222010 |
5 | 1020042012 |
6 | 113134220 |
7 | 23644551 |
oct | 10035204 |
9 | 3868263 |
10 | 2112132 |
11 | 1212970 |
12 | 85a370 |
13 | 58c4a9 |
14 | 3cda28 |
15 | 2bac3c |
hex | 203a84 |
2112132 has 24 divisors (see below), whose sum is σ = 5376672. Its totient is φ = 640000.
The previous prime is 2112127. The next prime is 2112139. The reversal of 2112132 is 2312112.
It is a super-2 number, since 2×21121322 = 8922203170848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2112139) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 7869 + ... + 8132.
It is an arithmetic number, because the mean of its divisors is an integer number (224028).
22112132 is an apocalyptic number.
2112132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
2112132 is an abundant number, since it is smaller than the sum of its proper divisors (3264540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112132 is a wasteful number, since it uses less digits than its factorization.
2112132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16019 (or 16017 counting only the distinct ones).
The product of its digits is 24, while the sum is 12.
The square root of 2112132 is about 1453.3175840125. The cubic root of 2112132 is about 128.3040460894.
Adding to 2112132 its reverse (2312112), we get a palindrome (4424244).
It can be divided in two parts, 2112 and 132, that multiplied together give a square (278784 = 5282).
The spelling of 2112132 in words is "two million, one hundred twelve thousand, one hundred thirty-two".
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