Base | Representation |
---|---|
bin | 111101001001111100100 |
3 | 10202210220000 |
4 | 13221033210 |
5 | 1003111230 |
6 | 110541300 |
7 | 23014251 |
oct | 7511744 |
9 | 3683800 |
10 | 2003940 |
11 | 1149654 |
12 | 807830 |
13 | 552183 |
14 | 3a2428 |
15 | 298b60 |
hex | 1e93e4 |
2003940 has 60 divisors (see below), whose sum is σ = 6291516. Its totient is φ = 533952.
The previous prime is 2003927. The next prime is 2003951. The reversal of 2003940 is 493002.
It can be written as a sum of positive squares in 2 ways, for example, as 1127844 + 876096 = 1062^2 + 936^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1002 + ... + 2238.
22003940 is an apocalyptic number.
2003940 is a gapful number since it is divisible by the number (20) 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 2003940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145758).
2003940 is an abundant number, since it is smaller than the sum of its proper divisors (4287576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003940 is a wasteful number, since it uses less digits than its factorization.
2003940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1258 (or 1247 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2003940 is about 1415.6058773543. The cubic root of 2003940 is about 126.0747855353.
Adding to 2003940 its reverse (493002), we get a palindrome (2496942).
The spelling of 2003940 in words is "two million, three thousand, nine hundred forty".
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