Base | Representation |
---|---|
bin | 111101000010011010000 |
3 | 10202121121001 |
4 | 13220103100 |
5 | 1003000310 |
6 | 110511344 |
7 | 23000065 |
oct | 7502320 |
9 | 3677531 |
10 | 2000080 |
11 | 1146765 |
12 | 805554 |
13 | 5504a4 |
14 | 3a0c6c |
15 | 29793a |
hex | 1e84d0 |
2000080 has 40 divisors (see below), whose sum is σ = 4856832. Its totient is φ = 764544.
The previous prime is 2000039. The next prime is 2000081. The reversal of 2000080 is 800002.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2000081) 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, 1297 + ... + 2383.
22000080 is an apocalyptic number.
2000080 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 2000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428416).
2000080 is an abundant number, since it is smaller than the sum of its proper divisors (2856752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000080 is a wasteful number, since it uses less digits than its factorization.
2000080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 2000080 is about 1414.2418463615. The cubic root of 2000080 is about 125.9937848618.
Adding to 2000080 its reverse (800002), we get a palindrome (2800082).
The spelling of 2000080 in words is "two million, eighty", and thus it is an aban number and an uban number.
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