Base | Representation |
---|---|
bin | 1111110000000… |
… | …10110011001010 |
3 | 100012122000002100 |
4 | 13320002303022 |
5 | 232311211132 |
6 | 21040014230 |
7 | 3163050420 |
oct | 770026312 |
9 | 305560070 |
10 | 132132042 |
11 | 68648839 |
12 | 38301376 |
13 | 214b4053 |
14 | 13797110 |
15 | b90037c |
hex | 7e02cca |
132132042 has 96 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 35334144.
The previous prime is 132132029. The next prime is 132132043. The reversal of 132132042 is 240231231.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (132132043) by changing a digit.
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, 231934 + ... + 232502.
It is an arithmetic number, because the mean of its divisors is an integer number (3630900).
Almost surely, 2132132042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132132042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).
132132042 is an abundant number, since it is smaller than the sum of its proper divisors (216434358).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132132042 is a wasteful number, since it uses less digits than its factorization.
132132042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 700 (or 697 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 132132042 is about 11494.8702472016. The cubic root of 132132042 is about 509.3340558355.
Adding to 132132042 its reverse (240231231), we get a palindrome (372363273).
The spelling of 132132042 in words is "one hundred thirty-two million, one hundred thirty-two thousand, forty-two".
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