| Base | Representation |
|---|---|
| bin | 11000011011101… |
| … | …11001010010000 |
| 3 | 112021200001210221 |
| 4 | 30031313022100 |
| 5 | 404432213100 |
| 6 | 32201002424 |
| 7 | 5036064121 |
| oct | 1415671220 |
| 9 | 467601727 |
| 10 | 204960400 |
| 11 | a5770867 |
| 12 | 58783414 |
| 13 | 33603058 |
| 14 | 1d314048 |
| 15 | 12ed901a |
| hex | c377290 |
204960400 has 60 divisors (see below), whose sum is σ = 509426100. Its totient is φ = 79152640.
The previous prime is 204960397. The next prime is 204960401. The reversal of 204960400 is 4069402.
204960400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 16941456 + 188018944 = 4116^2 + 13712^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (204960401) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 2766 + ... + 20434.
It is an arithmetic number, because the mean of its divisors is an integer number (8490435).
Almost surely, 2204960400 is an apocalyptic number.
204960400 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 204960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254713050).
204960400 is an abundant number, since it is smaller than the sum of its proper divisors (304465700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204960400 is a wasteful number, since it uses less digits than its factorization.
204960400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17716 (or 17705 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The square root of 204960400 is about 14316.4381045007. The cubic root of 204960400 is about 589.5988846912.
The spelling of 204960400 in words is "two hundred four million, nine hundred sixty thousand, four hundred".
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