| Base | Representation |
|---|---|
| bin | 1111111001001… |
| … | …01101100000000 |
| 3 | 100021212112111011 |
| 4 | 13330211230000 |
| 5 | 233112323040 |
| 6 | 21121330304 |
| 7 | 3206142211 |
| oct | 774455400 |
| 9 | 307775434 |
| 10 | 133323520 |
| 11 | 69291a30 |
| 12 | 38796994 |
| 13 | 21810475 |
| 14 | 139c7408 |
| 15 | ba883ea |
| hex | 7f25b00 |
133323520 has 144 divisors (see below), whose sum is σ = 369538848. Its totient is φ = 45547520.
The previous prime is 133323439. The next prime is 133323557. The reversal of 133323520 is 25323331.
It is a happy number.
It is a super-3 number, since 3×1333235203 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 133323491 and 133323500.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 239082 + ... + 239638.
It is an arithmetic number, because the mean of its divisors is an integer number (2566242).
Almost surely, 2133323520 is an apocalyptic number.
133323520 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 133323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184769424).
133323520 is an abundant number, since it is smaller than the sum of its proper divisors (236215328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133323520 is a wasteful number, since it uses less digits than its factorization.
133323520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 606 (or 592 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 22.
The square root of 133323520 is about 11546.5804461754. The cubic root of 133323520 is about 510.8604212050.
Adding to 133323520 its reverse (25323331), we get a palindrome (158646851).
The spelling of 133323520 in words is "one hundred thirty-three million, three hundred twenty-three thousand, five hundred twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.067 sec. • engine limits •