Base | Representation |
---|---|
bin | 1000001000111110110000 |
3 | 11000102012200 |
4 | 20020332300 |
5 | 1021241221 |
6 | 113423200 |
7 | 24065250 |
oct | 10107660 |
9 | 4012180 |
10 | 2133936 |
11 | 1228292 |
12 | 86ab00 |
13 | 5993ac |
14 | 3d7960 |
15 | 2c2426 |
hex | 208fb0 |
2133936 has 120 divisors (see below), whose sum is σ = 7157280. Its totient is φ = 580608.
The previous prime is 2133899. The next prime is 2133949. The reversal of 2133936 is 6393312.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29196 + ... + 29268.
It is an arithmetic number, because the mean of its divisors is an integer number (59644).
22133936 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2133936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578640).
2133936 is an abundant number, since it is smaller than the sum of its proper divisors (5023344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2133936 is a wasteful number, since it uses less digits than its factorization.
2133936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123 (or 114 counting only the distinct ones).
The product of its digits is 2916, while the sum is 27.
The square root of 2133936 is about 1460.7997809419. The cubic root of 2133936 is about 128.7440390617.
The spelling of 2133936 in words is "two million, one hundred thirty-three thousand, nine hundred thirty-six".
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