| Base | Representation |
|---|---|
| bin | 111001010001111… |
| … | …011001001000000 |
| 3 | 2110222021212011121 |
| 4 | 321101323021000 |
| 5 | 3432004000000 |
| 6 | 235205322024 |
| 7 | 32546236162 |
| oct | 7121731100 |
| 9 | 2428255147 |
| 10 | 961000000 |
| 11 | 453506584 |
| 12 | 229a06314 |
| 13 | 12413386c |
| 14 | 918b8932 |
| 15 | 5957ab1a |
| hex | 3947b240 |
961000000 has 147 divisors (see below), whose sum is σ = 2463073941. Its totient is φ = 372000000.
The previous prime is 960999973. The next prime is 961000009. The reversal of 961000000 is 169.
The square root of 961000000 is 31000.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 3 ways, for example, as 841928256 + 119071744 = 29016^2 + 10912^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is a nialpdrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (961000009) 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 20 ways as a sum of consecutive naturals, for example, 30999985 + ... + 31000015.
Almost surely, 2961000000 is an apocalyptic number.
961000000 is the 31000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 961000000
961000000 is an abundant number, since it is smaller than the sum of its proper divisors (1502073941).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
961000000 is an frugal number, since it uses more digits than its factorization.
961000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104 (or 38 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
The cubic root of 961000000 is about 986.8272403219.
Multiplying 961000000 by its sum of digits (16), we get a square (15376000000 = 1240002).
961000000 divided by its sum of digits (16) gives a square (60062500 = 77502).
Adding to 961000000 its reverse (169), we get a palindrome (961000169).
Multiplying 961000000 by its reverse (169), we get a square (162409000000 = 4030002).
The spelling of 961000000 in words is "nine hundred sixty-one million", and thus it is an aban number.
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