Base | Representation |
---|---|
bin | 1000001000111110011110 |
3 | 11000102012000 |
4 | 20020332132 |
5 | 1021241133 |
6 | 113423130 |
7 | 24065223 |
oct | 10107636 |
9 | 4012160 |
10 | 2133918 |
11 | 1228276 |
12 | 86aaa6 |
13 | 599397 |
14 | 3d794a |
15 | 2c2413 |
hex | 208f9e |
2133918 has 32 divisors (see below), whose sum is σ = 4857600. Its totient is φ = 694008.
The previous prime is 2133899. The next prime is 2133949. The reversal of 2133918 is 8193312.
2133918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2133891 and 2133900.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863 + ... + 2781.
It is an arithmetic number, because the mean of its divisors is an integer number (151800).
22133918 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2133918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428800).
2133918 is an abundant number, since it is smaller than the sum of its proper divisors (2723682).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2133918 is a wasteful number, since it uses less digits than its factorization.
2133918 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 973 (or 967 counting only the distinct ones).
The product of its digits is 1296, while the sum is 27.
The square root of 2133918 is about 1460.7936199204. The cubic root of 2133918 is about 128.7436770703.
The spelling of 2133918 in words is "two million, one hundred thirty-three thousand, nine hundred eighteen".
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