Base | Representation |
---|---|
bin | 1111110000001… |
… | …00010101011000 |
3 | 100012122022201011 |
4 | 13320010111120 |
5 | 232311411303 |
6 | 21040103304 |
7 | 3163104640 |
oct | 770042530 |
9 | 305568634 |
10 | 132138328 |
11 | 68652533 |
12 | 38304b34 |
13 | 214b6b7a |
14 | 13799520 |
15 | b90216d |
hex | 7e04558 |
132138328 has 48 divisors (see below), whose sum is σ = 289869840. Its totient is φ = 55298880.
The previous prime is 132138319. The next prime is 132138329. The reversal of 132138328 is 823831231.
132138328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 132138328.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132138329) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626143 + ... + 626353.
It is an arithmetic number, because the mean of its divisors is an integer number (6038955).
Almost surely, 2132138328 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 132138328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144934920).
132138328 is an abundant number, since it is smaller than the sum of its proper divisors (157731512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132138328 is an equidigital number, since it uses as much as digits as its factorization.
132138328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 488 (or 273 counting only the distinct ones).
The product of its digits is 6912, while the sum is 31.
The square root of 132138328 is about 11495.1436702635. The cubic root of 132138328 is about 509.3421326629.
Adding to 132138328 its reverse (823831231), we get a palindrome (955969559).
The spelling of 132138328 in words is "one hundred thirty-two million, one hundred thirty-eight thousand, three hundred twenty-eight".
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