Base | Representation |
---|---|
bin | 1111111011110… |
… | …00000100100000 |
3 | 100022111200100221 |
4 | 13331320010200 |
5 | 233204122320 |
6 | 21132452424 |
7 | 3212046046 |
oct | 775700440 |
9 | 308450327 |
10 | 133660960 |
11 | 694a2504 |
12 | 3891a114 |
13 | 218cac34 |
14 | 13a74396 |
15 | bb033aa |
hex | 7f78120 |
133660960 has 48 divisors (see below), whose sum is σ = 321148800. Its totient is φ = 52554496.
The previous prime is 133660951. The next prime is 133660963. The reversal of 133660960 is 69066331.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (133660963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2361 + ... + 16519.
It is an arithmetic number, because the mean of its divisors is an integer number (6690600).
Almost surely, 2133660960 is an apocalyptic number.
133660960 is a gapful number since it is divisible by the number (10) 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 133660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160574400).
133660960 is an abundant number, since it is smaller than the sum of its proper divisors (187487840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133660960 is a wasteful number, since it uses less digits than its factorization.
133660960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14233 (or 14225 counting only the distinct ones).
The product of its (nonzero) digits is 17496, while the sum is 34.
The square root of 133660960 is about 11561.1833304381. The cubic root of 133660960 is about 511.2910516750.
The spelling of 133660960 in words is "one hundred thirty-three million, six hundred sixty thousand, nine hundred sixty".
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