| Base | Representation |
|---|---|
| bin | 100110001011100… |
| … | …110101000000000 |
| 3 | 1122122100122002001 |
| 4 | 212023212220000 |
| 5 | 2302441413000 |
| 6 | 143321433344 |
| 7 | 21605543341 |
| oct | 4613465000 |
| 9 | 1578318061 |
| 10 | 640576000 |
| 11 | 2a9652259 |
| 12 | 15a63b854 |
| 13 | a293466c |
| 14 | 6110a0c8 |
| 15 | 3b38546a |
| hex | 262e6a00 |
640576000 has 80 divisors (see below), whose sum is σ = 1597475880. Its totient is φ = 256204800.
The previous prime is 640575973. The next prime is 640576007. The reversal of 640576000 is 675046.
It can be written as a sum of positive squares in 4 ways, for example, as 414855424 + 225720576 = 20368^2 + 15024^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×6405760002 = 820675223552000000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 640576000.
It is not an unprimeable number, because it can be changed into a prime (640576007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58996 + ... + 69004.
Almost surely, 2640576000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 640576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798737940).
640576000 is an abundant number, since it is smaller than the sum of its proper divisors (956899880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
640576000 is an equidigital number, since it uses as much as digits as its factorization.
640576000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10042 (or 10016 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 28.
The square root of 640576000 is about 25309.6029206307. The cubic root of 640576000 is about 862.0323306547.
It can be divided in two parts, 640 and 576000, that multiplied together give a square (368640000 = 192002).
The spelling of 640576000 in words is "six hundred forty million, five hundred seventy-six thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •