| Base | Representation |
|---|---|
| bin | 1111111001110… |
| … | …11011111100000 |
| 3 | 100022001002000000 |
| 4 | 13330323133200 |
| 5 | 233123202312 |
| 6 | 21123300000 |
| 7 | 3206663460 |
| oct | 774733740 |
| 9 | 308032000 |
| 10 | 133412832 |
| 11 | 69343043 |
| 12 | 3881a600 |
| 13 | 21842007 |
| 14 | 13a0bba0 |
| 15 | baa4adc |
| hex | 7f3b7e0 |
133412832 has 336 divisors, whose sum is σ = 484767360. Its totient is φ = 35271936.
The previous prime is 133412827. The next prime is 133412833. The reversal of 133412832 is 238214331.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-3 number, since 3×1334128323 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 133412796 and 133412805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133412833) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3102603 + ... + 3102645.
It is an arithmetic number, because the mean of its divisors is an integer number (1442760).
Almost surely, 2133412832 is an apocalyptic number.
133412832 is a gapful number since it is divisible by the number (12) 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 133412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242383680).
133412832 is an abundant number, since it is smaller than the sum of its proper divisors (351354528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133412832 is an equidigital number, since it uses as much as digits as its factorization.
133412832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 97 (or 74 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 133412832 is about 11550.4472640673. The cubic root of 133412832 is about 510.9744690530.
The spelling of 133412832 in words is "one hundred thirty-three million, four hundred twelve thousand, eight hundred thirty-two".
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