Base | Representation |
---|---|
bin | 1111110111100… |
… | …01101100001100 |
3 | 100021110201100000 |
4 | 13323301230030 |
5 | 233034014130 |
6 | 21113004300 |
7 | 3204264243 |
oct | 773615414 |
9 | 307421300 |
10 | 133110540 |
11 | 69156a12 |
12 | 386b3690 |
13 | 21767544 |
14 | 1396d95a |
15 | ba45260 |
hex | 7ef1b0c |
133110540 has 144 divisors (see below), whose sum is σ = 426535200. Its totient is φ = 34836480.
The previous prime is 133110539. The next prime is 133110547. The reversal of 133110540 is 45011331.
133110540 is a `hidden beast` number, since 13 + 3 + 110 + 540 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (133110547) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296236 + ... + 296684.
It is an arithmetic number, because the mean of its divisors is an integer number (2962050).
Almost surely, 2133110540 is an apocalyptic number.
133110540 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 133110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).
133110540 is an abundant number, since it is smaller than the sum of its proper divisors (293424660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133110540 is a wasteful number, since it uses less digits than its factorization.
133110540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 534 (or 520 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 133110540 is about 11537.3541160874. The cubic root of 133110540 is about 510.5882485721.
Adding to 133110540 its reverse (45011331), we get a palindrome (178121871).
The spelling of 133110540 in words is "one hundred thirty-three million, one hundred ten thousand, five hundred forty".
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