Base | Representation |
---|---|
bin | 101110011011… |
… | …111100111000 |
3 | 211220110101000 |
4 | 232123330320 |
5 | 11104014422 |
6 | 1112525000 |
7 | 205320060 |
oct | 56337470 |
9 | 24813330 |
10 | 12173112 |
11 | 6964926 |
12 | 40b0760 |
13 | 26a2a33 |
14 | 188c3a0 |
15 | 1106cac |
hex | b9bf38 |
12173112 has 128 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 3400704.
The previous prime is 12173087. The next prime is 12173113. The reversal of 12173112 is 21137121.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12173113) 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, 125448 + ... + 125544.
It is an arithmetic number, because the mean of its divisors is an integer number (308700).
Almost surely, 212173112 is an apocalyptic number.
12173112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12173112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).
12173112 is an abundant number, since it is smaller than the sum of its proper divisors (27340488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12173112 is a wasteful number, since it uses less digits than its factorization.
12173112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 202 (or 192 counting only the distinct ones).
The product of its digits is 84, while the sum is 18.
The square root of 12173112 is about 3488.9987102319. The cubic root of 12173112 is about 230.0385064704.
The spelling of 12173112 in words is "twelve million, one hundred seventy-three thousand, one hundred twelve".
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