Base | Representation |
---|---|
bin | 1111111001001… |
… | …01110100001000 |
3 | 100021212120012102 |
4 | 13330211310020 |
5 | 233112332130 |
6 | 21121332532 |
7 | 3206143553 |
oct | 774456410 |
9 | 307776172 |
10 | 133324040 |
11 | 69292363 |
12 | 38797148 |
13 | 21810785 |
14 | 139c769a |
15 | ba88645 |
hex | 7f25d08 |
133324040 has 64 divisors (see below), whose sum is σ = 308484720. Its totient is φ = 51840000.
The previous prime is 133324021. The next prime is 133324099. The reversal of 133324040 is 40423331.
133324040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 49308484 + 84015556 = 7022^2 + 9166^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246170 + ... + 246710.
Almost surely, 2133324040 is an apocalyptic number.
133324040 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 133324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154242360).
133324040 is an abundant number, since it is smaller than the sum of its proper divisors (175160680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133324040 is a wasteful number, since it uses less digits than its factorization.
133324040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 714 (or 710 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 133324040 is about 11546.6029636426. The cubic root of 133324040 is about 510.8610853716.
Adding to 133324040 its reverse (40423331), we get a palindrome (173747371).
The spelling of 133324040 in words is "one hundred thirty-three million, three hundred twenty-four thousand, forty".
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