Base | Representation |
---|---|
bin | 1100100100011… |
… | …00100010010000 |
3 | 21100101120012112 |
4 | 12102030202100 |
5 | 203442330412 |
6 | 14243444452 |
7 | 2420111342 |
oct | 622144220 |
9 | 240346175 |
10 | 105433232 |
11 | 54572603 |
12 | 2b386728 |
13 | 18ac6838 |
14 | 10007292 |
15 | 93c9722 |
hex | 648c890 |
105433232 has 30 divisors (see below), whose sum is σ = 211109814. Its totient is φ = 51008640.
The previous prime is 105433231. The next prime is 105433283. The reversal of 105433232 is 232334501.
It can be written as a sum of positive squares in only one way, i.e., 57214096 + 48219136 = 7564^2 + 6944^2 .
It is a super-2 number, since 2×1054332322 = 22232332819931648, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105433198 and 105433207.
It is not an unprimeable number, because it can be changed into a prime (105433231) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11948 + ... + 18804.
Almost surely, 2105433232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105433232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105554907).
105433232 is an abundant number, since it is smaller than the sum of its proper divisors (105676582).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105433232 is an equidigital number, since it uses as much as digits as its factorization.
105433232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6927 (or 6890 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 23.
The square root of 105433232 is about 10268.0685622954. The cubic root of 105433232 is about 472.4173508659.
Adding to 105433232 its reverse (232334501), we get a palindrome (337767733).
The spelling of 105433232 in words is "one hundred five million, four hundred thirty-three thousand, two hundred thirty-two".
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