Base | Representation |
---|---|
bin | 1111110001100… |
… | …01101100100100 |
3 | 100012222202120210 |
4 | 13320301230210 |
5 | 232333333012 |
6 | 21044055420 |
7 | 3164510433 |
oct | 770615444 |
9 | 305882523 |
10 | 132324132 |
11 | 6876a096 |
12 | 38394570 |
13 | 21550605 |
14 | 1380711a |
15 | b93c23c |
hex | 7e31b24 |
132324132 has 48 divisors (see below), whose sum is σ = 328708800. Its totient is φ = 41310720.
The previous prime is 132324119. The next prime is 132324163. The reversal of 132324132 is 231423231.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 132324099 and 132324108.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17032 + ... + 23552.
It is an arithmetic number, because the mean of its divisors is an integer number (6848100).
Almost surely, 2132324132 is an apocalyptic number.
132324132 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 132324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164354400).
132324132 is an abundant number, since it is smaller than the sum of its proper divisors (196384668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132324132 is a wasteful number, since it uses less digits than its factorization.
132324132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6636 (or 6634 counting only the distinct ones).
The product of its digits is 864, while the sum is 21.
The square root of 132324132 is about 11503.2226788844. Note that the first 3 decimals coincide. The cubic root of 132324132 is about 509.5807550316.
Adding to 132324132 its reverse (231423231), we get a palindrome (363747363).
Subtracting 132324132 from its reverse (231423231), we obtain a palindrome (99099099).
The spelling of 132324132 in words is "one hundred thirty-two million, three hundred twenty-four thousand, one hundred thirty-two".
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