Base | Representation |
---|---|
bin | 111110101100111 |
3 | 1122001000 |
4 | 13311213 |
5 | 2011403 |
6 | 404343 |
7 | 162411 |
oct | 76547 |
9 | 48030 |
10 | 32103 |
11 | 22135 |
12 | 166b3 |
13 | 117c6 |
14 | b9b1 |
15 | 97a3 |
hex | 7d67 |
32103 has 16 divisors (see below), whose sum is σ = 50400. Its totient is φ = 20160.
The previous prime is 32099. The next prime is 32117. The reversal of 32103 is 30123.
It is a happy number.
It is not a de Polignac number, because 32103 - 22 = 32099 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an alternating number because its digits alternate between odd and even.
It is a house number.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32103.
It is not an unprimeable number, because it can be changed into a prime (32143) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 763 + ... + 803.
It is an arithmetic number, because the mean of its divisors is an integer number (3150).
232103 is an apocalyptic number.
32103 is a deficient number, since it is larger than the sum of its proper divisors (18297).
32103 is a wasteful number, since it uses less digits than its factorization.
32103 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79 (or 73 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 32103 is about 179.1731006597. The cubic root of 32103 is about 31.7820475387.
Adding to 32103 its reverse (30123), we get a palindrome (62226).
The spelling of 32103 in words is "thirty-two thousand, one hundred three".
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