Base | Representation |
---|---|
bin | 1111110000111… |
… | …01011010001000 |
3 | 100012211112121000 |
4 | 13320131122020 |
5 | 232323203112 |
6 | 21042215000 |
7 | 3164013240 |
oct | 770353210 |
9 | 305745530 |
10 | 132241032 |
11 | 68712710 |
12 | 38354460 |
13 | 21521841 |
14 | 137c4b20 |
15 | b9227dc |
hex | 7e1d688 |
132241032 has 128 divisors (see below), whose sum is σ = 458035200. Its totient is φ = 34344000.
The previous prime is 132241019. The next prime is 132241037. The reversal of 132241032 is 230142231.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 132240996 and 132241014.
It is not an unprimeable number, because it can be changed into a prime (132241037) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12657 + ... + 20607.
It is an arithmetic number, because the mean of its divisors is an integer number (3578400).
Almost surely, 2132241032 is an apocalyptic number.
132241032 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 132241032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229017600).
132241032 is an abundant number, since it is smaller than the sum of its proper divisors (325794168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132241032 is a wasteful number, since it uses less digits than its factorization.
132241032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7984 (or 7974 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 132241032 is about 11499.6100803462. The cubic root of 132241032 is about 509.4740598841.
Adding to 132241032 its reverse (230142231), we get a palindrome (362383263).
The spelling of 132241032 in words is "one hundred thirty-two million, two hundred forty-one thousand, thirty-two".
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