Base | Representation |
---|---|
bin | 110101101100111… |
… | …001000000000000 |
3 | 2022210022112010101 |
4 | 311230321000000 |
5 | 3321121212011 |
6 | 225222412144 |
7 | 31220015200 |
oct | 6554710000 |
9 | 2283275111 |
10 | 900960256 |
11 | 422628859 |
12 | 211891054 |
13 | 1148717a1 |
14 | 8792a400 |
15 | 5416b2c1 |
hex | 35b39000 |
900960256 has 117 divisors (see below), whose sum is σ = 2127604059. Its totient is φ = 380362752.
The previous prime is 900960253. The next prime is 900960289. The reversal of 900960256 is 652069009.
It is a happy number.
The square root of 900960256 is 30016.
It is a perfect power (a square), and thus also a powerful number.
It is not an unprimeable number, because it can be changed into a prime (900960253) 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 8 ways as a sum of consecutive naturals, for example, 13447135 + ... + 13447201.
Almost surely, 2900960256 is an apocalyptic number.
900960256 is the 30016-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 900960256
900960256 is an abundant number, since it is smaller than the sum of its proper divisors (1226643803).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
900960256 is an frugal number, since it uses more digits than its factorization.
900960256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 172 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 37.
The cubic root of 900960256 is about 965.8326392132.
The spelling of 900960256 in words is "nine hundred million, nine hundred sixty thousand, two hundred fifty-six".
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