Base | Representation |
---|---|
bin | 1111110011100… |
… | …01011000110100 |
3 | 100020111000110000 |
4 | 13321301120310 |
5 | 232420210022 |
6 | 21053431300 |
7 | 3166645140 |
oct | 771613064 |
9 | 306430400 |
10 | 132585012 |
11 | 6892809a |
12 | 3849b530 |
13 | 21612291 |
14 | 13874220 |
15 | b98e6ac |
hex | 7e71634 |
132585012 has 120 divisors (see below), whose sum is σ = 403958016. Its totient is φ = 37132992.
The previous prime is 132585007. The next prime is 132585043. The reversal of 132585012 is 210585231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119653 + ... + 120755.
Almost surely, 2132585012 is an apocalyptic number.
132585012 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 132585012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201979008).
132585012 is an abundant number, since it is smaller than the sum of its proper divisors (271373004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132585012 is a wasteful number, since it uses less digits than its factorization.
132585012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1179 (or 1168 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 27.
The square root of 132585012 is about 11514.5565264147. The cubic root of 132585012 is about 509.9154184992.
The spelling of 132585012 in words is "one hundred thirty-two million, five hundred eighty-five thousand, twelve".
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