Base | Representation |
---|---|
bin | 1111110001010… |
… | …00110100110000 |
3 | 100012220220201212 |
4 | 13320220310300 |
5 | 232331202132 |
6 | 21043215252 |
7 | 3164266460 |
oct | 770506460 |
9 | 305826655 |
10 | 132287792 |
11 | 6874485a |
12 | 38377528 |
13 | 21539c00 |
14 | 137d7ba0 |
15 | b9315b2 |
hex | 7e28d30 |
132287792 has 120 divisors (see below), whose sum is σ = 329487840. Its totient is φ = 50319360.
The previous prime is 132287773. The next prime is 132287801. The reversal of 132287792 is 297782231.
It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.
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 23 ways as a sum of consecutive naturals, for example, 548792 + ... + 549032.
It is an arithmetic number, because the mean of its divisors is an integer number (2745732).
Almost surely, 2132287792 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 132287792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164743920).
132287792 is an abundant number, since it is smaller than the sum of its proper divisors (197200048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132287792 is a wasteful number, since it uses less digits than its factorization.
132287792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 311 (or 292 counting only the distinct ones).
The product of its digits is 84672, while the sum is 41.
The square root of 132287792 is about 11501.6430130656. The cubic root of 132287792 is about 509.5341022661.
The spelling of 132287792 in words is "one hundred thirty-two million, two hundred eighty-seven thousand, seven hundred ninety-two".
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