Base | Representation |
---|---|
bin | 1111110000001… |
… | …01000010000000 |
3 | 100012122110121221 |
4 | 13320011002000 |
5 | 232312004214 |
6 | 21040124424 |
7 | 3163116160 |
oct | 770050200 |
9 | 305573557 |
10 | 132141184 |
11 | 6865469a |
12 | 38306714 |
13 | 214b8266 |
14 | 1379a5a0 |
15 | b902e24 |
hex | 7e05080 |
132141184 has 64 divisors (see below), whose sum is σ = 303307200. Its totient is φ = 56171520.
The previous prime is 132141173. The next prime is 132141199. The reversal of 132141184 is 481141231.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1321411842 = 34922585017843712, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124014 + ... + 125074.
It is an arithmetic number, because the mean of its divisors is an integer number (4739175).
Almost surely, 2132141184 is an apocalyptic number.
132141184 is a gapful number since it is divisible by the number (14) 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 132141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151653600).
132141184 is an abundant number, since it is smaller than the sum of its proper divisors (171166016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132141184 is a wasteful number, since it uses less digits than its factorization.
132141184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).
The product of its digits is 768, while the sum is 25.
The square root of 132141184 is about 11495.2678959648. The cubic root of 132141184 is about 509.3458022282.
The spelling of 132141184 in words is "one hundred thirty-two million, one hundred forty-one thousand, one hundred eighty-four".
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