| Base | Representation |
|---|---|
| bin | 11000011111101… |
| … | …01101011110000 |
| 3 | 112022122101201000 |
| 4 | 30033311223300 |
| 5 | 410100304030 |
| 6 | 32220042000 |
| 7 | 5043353043 |
| oct | 1417655360 |
| 9 | 468571630 |
| 10 | 205478640 |
| 11 | a5a95164 |
| 12 | 58993300 |
| 13 | 33754bc3 |
| 14 | 1d40ac5a |
| 15 | 1308c860 |
| hex | c3f5af0 |
205478640 has 160 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 54432000.
The previous prime is 205478629. The next prime is 205478641. The reversal of 205478640 is 46874502.
205478640 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 7 + 8 + 640 = 666.
205478640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 205478595 and 205478604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (205478641) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541971 + ... + 542349.
It is an arithmetic number, because the mean of its divisors is an integer number (4452840).
Almost surely, 2205478640 is an apocalyptic number.
205478640 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 205478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).
205478640 is an abundant number, since it is smaller than the sum of its proper divisors (506975760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205478640 is a wasteful number, since it uses less digits than its factorization.
205478640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 652 (or 640 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 205478640 is about 14334.5261519173. The cubic root of 205478640 is about 590.0953977696.
The spelling of 205478640 in words is "two hundred five million, four hundred seventy-eight thousand, six hundred forty".
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