Base | Representation |
---|---|
bin | 1111110110011… |
… | …00111100010000 |
3 | 100021012001212001 |
4 | 13323030330100 |
5 | 233014210031 |
6 | 21105443344 |
7 | 3203066350 |
oct | 773147420 |
9 | 307161761 |
10 | 132960016 |
11 | 69063912 |
12 | 38640554 |
13 | 21713b87 |
14 | 13930b60 |
15 | ba15861 |
hex | 7eccf10 |
132960016 has 40 divisors (see below), whose sum is σ = 295985024. Its totient is φ = 56678400.
The previous prime is 132959993. The next prime is 132960017. The reversal of 132960016 is 610069231.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132960017) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18541 + ... + 24691.
Almost surely, 2132960016 is an apocalyptic number.
132960016 is a gapful number since it is divisible by the number (16) 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 132960016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147992512).
132960016 is an abundant number, since it is smaller than the sum of its proper divisors (163025008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132960016 is a wasteful number, since it uses less digits than its factorization.
132960016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6359 (or 6353 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 28.
The square root of 132960016 is about 11530.8289381120. The cubic root of 132960016 is about 510.3957149236.
The spelling of 132960016 in words is "one hundred thirty-two million, nine hundred sixty thousand, sixteen".
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