| Base | Representation |
|---|---|
| bin | 11110011100001… |
| … | …11110110010000 |
| 3 | 122210111122121121 |
| 4 | 33032013312100 |
| 5 | 1010333013100 |
| 6 | 41201132024 |
| 7 | 6220345651 |
| oct | 1716076620 |
| 9 | 583448547 |
| 10 | 255360400 |
| 11 | 121165059 |
| 12 | 7162a014 |
| 13 | 40b9b539 |
| 14 | 25cb3528 |
| 15 | 1764251a |
| hex | f387d90 |
255360400 has 135 divisors (see below), whose sum is σ = 665875939. Its totient is φ = 94090240.
The previous prime is 255360397. The next prime is 255360401. The reversal of 255360400 is 4063552.
255360400 = T419 + T420 + ... + T1170.
The square root of 255360400 is 15980.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 249387264 = 2444^2 + 15792^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (255360401) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5433177 + ... + 5433223.
Almost surely, 2255360400 is an apocalyptic number.
255360400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
255360400 is the 15980-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 255360400
255360400 is an abundant number, since it is smaller than the sum of its proper divisors (410515539).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
255360400 is a wasteful number, since it uses less digits than its factorization.
255360400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 25.
The cubic root of 255360400 is about 634.4311768058.
Multiplying 255360400 by its sum of digits (25), we get a square (6384010000 = 799002).
255360400 divided by its sum of digits (25) gives a square (10214416 = 31962).
Multiplying 255360400 by its product of nonzero digits (3600), we get a square (919297440000 = 9588002).
The spelling of 255360400 in words is "two hundred fifty-five million, three hundred sixty thousand, four hundred".
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