| Base | Representation |
|---|---|
| bin | 111011110000100… |
| … | …0000011011010000 |
| 3 | 12011202000201121220 |
| 4 | 1313201000123100 |
| 5 | 13101304004300 |
| 6 | 530545045040 |
| 7 | 100455263466 |
| oct | 16741003320 |
| 9 | 5152021556 |
| 10 | 2005141200 |
| 11 | 939939297 |
| 12 | 47b626780 |
| 13 | 25c5574aa |
| 14 | 150436836 |
| 15 | bb07ada0 |
| hex | 778406d0 |
2005141200 has 240 divisors, whose sum is σ = 6705166080. Its totient is φ = 511580160.
The previous prime is 2005141189. The next prime is 2005141241. The reversal of 2005141200 is 21415002.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2005141200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5463417 + ... + 5463783.
It is an arithmetic number, because the mean of its divisors is an integer number (27938192).
Almost surely, 22005141200 is an apocalyptic number.
2005141200 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 2005141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352583040).
2005141200 is an abundant number, since it is smaller than the sum of its proper divisors (4700024880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2005141200 is a wasteful number, since it uses less digits than its factorization.
2005141200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 574 (or 563 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 2005141200 is about 44778.8030210724. The cubic root of 2005141200 is about 1260.9997105041. Note that the first 3 decimals are identical.
Adding to 2005141200 its reverse (21415002), we get a palindrome (2026556202).
The spelling of 2005141200 in words is "two billion, five million, one hundred forty-one thousand, two hundred".
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