Base | Representation |
---|---|
bin | 1111110010010… |
… | …11110100000000 |
3 | 100020012012022201 |
4 | 13321023310000 |
5 | 232400243404 |
6 | 21050242544 |
7 | 3165434341 |
oct | 771136400 |
9 | 306165281 |
10 | 132431104 |
11 | 688324a3 |
12 | 38426454 |
13 | 2158a200 |
14 | 138340c8 |
15 | b95dca4 |
hex | 7e4bd00 |
132431104 has 54 divisors (see below), whose sum is σ = 286336806. Its totient is φ = 61102080.
The previous prime is 132431087. The next prime is 132431137. The reversal of 132431104 is 401134231.
It can be written as a sum of positive squares in 3 ways, for example, as 10549504 + 121881600 = 3248^2 + 11040^2 .
It is a congruent number.
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 5 ways as a sum of consecutive naturals, for example, 41734 + ... + 44794.
Almost surely, 2132431104 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 132431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143168403).
132431104 is an abundant number, since it is smaller than the sum of its proper divisors (153905702).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132431104 is an equidigital number, since it uses as much as digits as its factorization.
132431104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3103 (or 3076 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
The square root of 132431104 is about 11507.8713930944. The cubic root of 132431104 is about 509.7180345771.
Adding to 132431104 its reverse (401134231), we get a palindrome (533565335).
The spelling of 132431104 in words is "one hundred thirty-two million, four hundred thirty-one thousand, one hundred four".
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