Base | Representation |
---|---|
bin | 1111110000000… |
… | …10010011110000 |
3 | 100012121220022220 |
4 | 13320002103300 |
5 | 232311130112 |
6 | 21040001040 |
7 | 3163041516 |
oct | 770022360 |
9 | 305556286 |
10 | 132130032 |
11 | 68647281 |
12 | 38300180 |
13 | 214b3168 |
14 | 137964b6 |
15 | b8ee98c |
hex | 7e024f0 |
132130032 has 80 divisors (see below), whose sum is σ = 368547840. Its totient is φ = 40665856.
The previous prime is 132130027. The next prime is 132130039. The reversal of 132130032 is 230031231.
It is a junction number, because it is equal to n+sod(n) for n = 132129993 and 132130020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132130039) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29953 + ... + 34079.
It is an arithmetic number, because the mean of its divisors is an integer number (4606848).
Almost surely, 2132130032 is an apocalyptic number.
132130032 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 132130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273920).
132130032 is an abundant number, since it is smaller than the sum of its proper divisors (236417808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132130032 is a wasteful number, since it uses less digits than its factorization.
132130032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4190 (or 4184 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 132130032 is about 11494.7828165651. The cubic root of 132130032 is about 509.3314731497.
Adding to 132130032 its reverse (230031231), we get a palindrome (362161263).
The spelling of 132130032 in words is "one hundred thirty-two million, one hundred thirty thousand, thirty-two".
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