Base | Representation |
---|---|
bin | 1111110001010… |
… | …00011100101000 |
3 | 100012220211121200 |
4 | 13320220130220 |
5 | 232331124443 |
6 | 21043204200 |
7 | 3164262123 |
oct | 770503450 |
9 | 305824550 |
10 | 132286248 |
11 | 68743686 |
12 | 38376660 |
13 | 215392b3 |
14 | 137d73ba |
15 | b930dd3 |
hex | 7e28728 |
132286248 has 192 divisors, whose sum is σ = 409743360. Its totient is φ = 38320128.
The previous prime is 132286237. The next prime is 132286279. The reversal of 132286248 is 842682231.
132286248 is a `hidden beast` number, since 1 + 3 + 2 + 28 + 624 + 8 = 666.
132286248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041561 + ... + 1041687.
It is an arithmetic number, because the mean of its divisors is an integer number (2134080).
Almost surely, 2132286248 is an apocalyptic number.
132286248 is a gapful number since it is divisible by the number (18) 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 132286248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).
132286248 is an abundant number, since it is smaller than the sum of its proper divisors (277457112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132286248 is a wasteful number, since it uses less digits than its factorization.
132286248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 216 (or 209 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 132286248 is about 11501.5758920245. The cubic root of 132286248 is about 509.5321199121.
The spelling of 132286248 in words is "one hundred thirty-two million, two hundred eighty-six thousand, two hundred forty-eight".
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