Base | Representation |
---|---|
bin | 1111110011010… |
… | …00000111000000 |
3 | 100020102002022110 |
4 | 13321220013000 |
5 | 232413001013 |
6 | 21052535320 |
7 | 3166426266 |
oct | 771500700 |
9 | 306362273 |
10 | 132547008 |
11 | 68901590 |
12 | 38481540 |
13 | 215caba9 |
14 | 13864436 |
15 | b9832c3 |
hex | 7e681c0 |
132547008 has 112 divisors (see below), whose sum is σ = 387120384. Its totient is φ = 39690240.
The previous prime is 132547007. The next prime is 132547013. The reversal of 132547008 is 800745231.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132547001) 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, 204541 + ... + 205187.
It is an arithmetic number, because the mean of its divisors is an integer number (3456432).
Almost surely, 2132547008 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 132547008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).
132547008 is an abundant number, since it is smaller than the sum of its proper divisors (254573376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132547008 is a wasteful number, since it uses less digits than its factorization.
132547008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 770 (or 760 counting only the distinct ones).
The product of its (nonzero) digits is 6720, while the sum is 30.
The square root of 132547008 is about 11512.9061491875. The cubic root of 132547008 is about 509.8666933401.
The spelling of 132547008 in words is "one hundred thirty-two million, five hundred forty-seven thousand, eight".
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