Base | Representation |
---|---|
bin | 1111110001001… |
… | …11110011000000 |
3 | 100012220200222000 |
4 | 13320213303000 |
5 | 232331033314 |
6 | 21043144000 |
7 | 3164251266 |
oct | 770476300 |
9 | 305820860 |
10 | 132283584 |
11 | 68741684 |
12 | 38375000 |
13 | 21538014 |
14 | 137d6436 |
15 | b930209 |
hex | 7e27cc0 |
132283584 has 112 divisors (see below), whose sum is σ = 399592800. Its totient is φ = 42882048.
The previous prime is 132283583. The next prime is 132283651. The reversal of 132283584 is 485382231.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (132283583) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62902 + ... + 64970.
Almost surely, 2132283584 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 132283584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199796400).
132283584 is an abundant number, since it is smaller than the sum of its proper divisors (267309216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132283584 is a wasteful number, since it uses less digits than its factorization.
132283584 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2127 (or 2111 counting only the distinct ones).
The product of its digits is 46080, while the sum is 36.
The square root of 132283584 is about 11501.4600812245. The cubic root of 132283584 is about 509.5286995448.
The spelling of 132283584 in words is "one hundred thirty-two million, two hundred eighty-three thousand, five hundred eighty-four".
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