Base | Representation |
---|---|
bin | 111001100111000… |
… | …110010110110000 |
3 | 2111100201212122201 |
4 | 321213012112300 |
5 | 3434414112320 |
6 | 235524312544 |
7 | 32644355554 |
oct | 7147062660 |
9 | 2440655581 |
10 | 966550960 |
11 | 456658051 |
12 | 22b842754 |
13 | 12532835b |
14 | 92521864 |
15 | 59cc570a |
hex | 399c65b0 |
966550960 has 80 divisors (see below), whose sum is σ = 2283336000. Its totient is φ = 380464128.
The previous prime is 966550951. The next prime is 966550969. The reversal of 966550960 is 69055669.
It is a happy number.
966550960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (966550951) and next prime (966550969).
It is a tau number, because it is divible by the number of its divisors (80).
It is a self number, because there is not a number n which added to its sum of digits gives 966550960.
It is not an unprimeable number, because it can be changed into a prime (966550969) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735002 + ... + 1735558.
It is an arithmetic number, because the mean of its divisors is an integer number (28541700).
Almost surely, 2966550960 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 966550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141668000).
966550960 is an abundant number, since it is smaller than the sum of its proper divisors (1316785040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
966550960 is a wasteful number, since it uses less digits than its factorization.
966550960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 878 (or 872 counting only the distinct ones).
The product of its (nonzero) digits is 437400, while the sum is 46.
The square root of 966550960 is about 31089.4026960957. The cubic root of 966550960 is about 988.7236416966.
The spelling of 966550960 in words is "nine hundred sixty-six million, five hundred fifty thousand, nine hundred sixty".
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