Base | Representation |
---|---|
bin | 1111110100011… |
… | …11001101100000 |
3 | 100020201020000022 |
4 | 13322033031200 |
5 | 232433112133 |
6 | 21100213012 |
7 | 3200664236 |
oct | 772171540 |
9 | 306636008 |
10 | 132707168 |
11 | 68a00950 |
12 | 3853a168 |
13 | 21655a69 |
14 | 138a6956 |
15 | b9b5998 |
hex | 7e8f360 |
132707168 has 96 divisors (see below), whose sum is σ = 307214208. Its totient is φ = 55756800.
The previous prime is 132707167. The next prime is 132707189. The reversal of 132707168 is 861707231.
It is a super-2 number, since 2×1327071682 = 35222384877160448, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132707167) 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, 400763 + ... + 401093.
It is an arithmetic number, because the mean of its divisors is an integer number (3200148).
Almost surely, 2132707168 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153607104).
132707168 is an abundant number, since it is smaller than the sum of its proper divisors (174507040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132707168 is a wasteful number, since it uses less digits than its factorization.
132707168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 436 (or 428 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 35.
The square root of 132707168 is about 11519.8597213681. The cubic root of 132707168 is about 510.0719724134.
The spelling of 132707168 in words is "one hundred thirty-two million, seven hundred seven thousand, one hundred sixty-eight".
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