| Base | Representation |
|---|---|
| bin | 1011110000110111… |
| … | …01001011101000100 |
| 3 | 121022010200200010000 |
| 4 | 11320123221131010 |
| 5 | 100413230342100 |
| 6 | 2522402401300 |
| 7 | 312334462521 |
| oct | 57033513504 |
| 9 | 17263620100 |
| 10 | 6315480900 |
| 11 | 2750a19303 |
| 12 | 1283060230 |
| 13 | 798557061 |
| 14 | 43ca92148 |
| 15 | 26e6a3900 |
| hex | 1786e9744 |
6315480900 has 135 divisors (see below), whose sum is σ = 20495505261. Its totient is φ = 1682220960.
The previous prime is 6315480869. The next prime is 6315480911. The reversal of 6315480900 is 90845136.
The square root of 6315480900 is 79470.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 2273573124 + 4041907776 = 47682^2 + 63576^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7151859 + ... + 7152741.
Almost surely, 26315480900 is an apocalyptic number.
6315480900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
6315480900 is the 79470-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6315480900
6315480900 is an abundant number, since it is smaller than the sum of its proper divisors (14180024361).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6315480900 is an equidigital number, since it uses as much as digits as its factorization.
6315480900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1792 (or 893 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The cubic root of 6315480900 is about 1848.4263120874.
Multiplying 6315480900 by its sum of digits (36), we get a square (227357312400 = 4768202).
6315480900 divided by its sum of digits (36) gives a square (175430025 = 132452).
The spelling of 6315480900 in words is "six billion, three hundred fifteen million, four hundred eighty thousand, nine hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.125 sec. • engine limits •