Base | Representation |
---|---|
bin | 111101001100110010000 |
3 | 10202212212210 |
4 | 13221212100 |
5 | 1003133032 |
6 | 110552120 |
7 | 23021424 |
oct | 7514620 |
9 | 3685783 |
10 | 2005392 |
11 | 114a754 |
12 | 808640 |
13 | 552a2c |
14 | 3a2b84 |
15 | 2992cc |
hex | 1e9990 |
2005392 has 40 divisors (see below), whose sum is σ = 5312160. Its totient is φ = 651520.
The previous prime is 2005387. The next prime is 2005397. The reversal of 2005392 is 2935002.
It is an interprime number because it is at equal distance from previous prime (2005387) and next prime (2005397).
It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (2005397) 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, 1459 + ... + 2477.
It is an arithmetic number, because the mean of its divisors is an integer number (132804).
22005392 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 2005392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656080).
2005392 is an abundant number, since it is smaller than the sum of its proper divisors (3306768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2005392 is a wasteful number, since it uses less digits than its factorization.
2005392 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 21.
The square root of 2005392 is about 1416.1186390977. The cubic root of 2005392 is about 126.1052282952.
The spelling of 2005392 in words is "two million, five thousand, three hundred ninety-two".
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