| Base | Representation |
|---|---|
| bin | 1111111001001… |
| … | …01110011110100 |
| 3 | 100021212120011200 |
| 4 | 13330211303310 |
| 5 | 233112332040 |
| 6 | 21121332500 |
| 7 | 3206143524 |
| oct | 774456364 |
| 9 | 307776150 |
| 10 | 133324020 |
| 11 | 69292345 |
| 12 | 38797130 |
| 13 | 2181076b |
| 14 | 139c7684 |
| 15 | ba88630 |
| hex | 7f25cf4 |
133324020 has 72 divisors (see below), whose sum is σ = 418377960. Its totient is φ = 34325760.
The previous prime is 133324019. The next prime is 133324021. The reversal of 133324020 is 20423331.
It is an interprime number because it is at equal distance from previous prime (133324019) and next prime (133324021).
It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 121088016 = 3498^2 + 11004^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 133323984 and 133324002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133324021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7551 + ... + 17990.
It is an arithmetic number, because the mean of its divisors is an integer number (5810805).
Almost surely, 2133324020 is an apocalyptic number.
133324020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
133324020 is an abundant number, since it is smaller than the sum of its proper divisors (285053940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133324020 is a wasteful number, since it uses less digits than its factorization.
133324020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25585 (or 25580 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 133324020 is about 11546.6020975870. The cubic root of 133324020 is about 510.8610598268.
Adding to 133324020 its reverse (20423331), we get a palindrome (153747351).
The spelling of 133324020 in words is "one hundred thirty-three million, three hundred twenty-four thousand, twenty".
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