Base | Representation |
---|---|
bin | 1111110000100… |
… | …10101101000000 |
3 | 100012202022110000 |
4 | 13320102231000 |
5 | 232320302214 |
6 | 21041240000 |
7 | 3163441350 |
oct | 770225500 |
9 | 305668400 |
10 | 132197184 |
11 | 68692779 |
12 | 38333000 |
13 | 215078b2 |
14 | 137b2b60 |
15 | b914809 |
hex | 7e12b40 |
132197184 has 140 divisors (see below), whose sum is σ = 447978784. Its totient is φ = 37760256.
The previous prime is 132197173. The next prime is 132197203. The reversal of 132197184 is 481791231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34467 + ... + 38109.
Almost surely, 2132197184 is an apocalyptic number.
132197184 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 132197184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223989392).
132197184 is an abundant number, since it is smaller than the sum of its proper divisors (315781600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132197184 is an equidigital number, since it uses as much as digits as its factorization.
132197184 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3674 (or 3655 counting only the distinct ones).
The product of its digits is 12096, while the sum is 36.
The square root of 132197184 is about 11497.7034228580. The cubic root of 132197184 is about 509.4177438079.
The spelling of 132197184 in words is "one hundred thirty-two million, one hundred ninety-seven thousand, one hundred eighty-four".
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