Base | Representation |
---|---|
bin | 111111100100011000000 |
3 | 10220211100110 |
4 | 13330203000 |
5 | 1013124013 |
6 | 112351320 |
7 | 23463624 |
oct | 7744300 |
9 | 3824313 |
10 | 2083008 |
11 | 11a2aa4 |
12 | 845540 |
13 | 57c165 |
14 | 3c3184 |
15 | 2b22c3 |
hex | 1fc8c0 |
2083008 has 56 divisors (see below), whose sum is σ = 5811520. Its totient is φ = 656640.
The previous prime is 2083001. The next prime is 2083009. The reversal of 2083008 is 8003802.
It is a nialpdrome in base 8.
It is not an unprimeable number, because it can be changed into a prime (2083001) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3363 + ... + 3933.
22083008 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 2083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905760).
2083008 is an abundant number, since it is smaller than the sum of its proper divisors (3728512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2083008 is a wasteful number, since it uses less digits than its factorization.
2083008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 605 (or 595 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 2083008 is about 1443.2629698014. The cubic root of 2083008 is about 127.7115902261.
It can be divided in two parts, 20 and 83008, that added together give a triangular number (83028 = T407).
The spelling of 2083008 in words is "two million, eighty-three thousand, eight".
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