| Base | Representation |
|---|---|
| bin | 11000100011100… |
| … | …01110101000100 |
| 3 | 112100121020020100 |
| 4 | 30101301311010 |
| 5 | 410213042030 |
| 6 | 32235004100 |
| 7 | 5050601412 |
| oct | 1421616504 |
| 9 | 470536210 |
| 10 | 205987140 |
| 11 | a6302207 |
| 12 | 58b99630 |
| 13 | 338a24a8 |
| 14 | 1d5002b2 |
| 15 | 1313d360 |
| hex | c471d44 |
205987140 has 144 divisors (see below), whose sum is σ = 649080432. Its totient is φ = 52835328.
The previous prime is 205987127. The next prime is 205987153. The reversal of 205987140 is 41789502.
205987140 is a `hidden beast` number, since 20 + 598 + 7 + 1 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (205987127) and next prime (205987153).
It can be written as a sum of positive squares in 8 ways, for example, as 27123264 + 178863876 = 5208^2 + 13374^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 205987095 and 205987104.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045522 + ... + 1045718.
It is an arithmetic number, because the mean of its divisors is an integer number (4507503).
Almost surely, 2205987140 is an apocalyptic number.
205987140 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 205987140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324540216).
205987140 is an abundant number, since it is smaller than the sum of its proper divisors (443093292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205987140 is a wasteful number, since it uses less digits than its factorization.
205987140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 406 (or 401 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The square root of 205987140 is about 14352.2520880871. The cubic root of 205987140 is about 590.5817683986.
The spelling of 205987140 in words is "two hundred five million, nine hundred eighty-seven thousand, one hundred forty".
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