Base | Representation |
---|---|
bin | 111001100101000… |
… | …000000000000000 |
3 | 2111022200220202111 |
4 | 321211000000000 |
5 | 3434244010030 |
6 | 235504425104 |
7 | 32636604253 |
oct | 7145000000 |
9 | 2438626674 |
10 | 966000640 |
11 | 456311640 |
12 | 22b618194 |
13 | 125194a17 |
14 | 9241b09a |
15 | 59c1762a |
hex | 39940000 |
966000640 has 152 divisors (see below), whose sum is σ = 2566909152. Its totient is φ = 346030080.
The previous prime is 966000617. The next prime is 966000649. The reversal of 966000640 is 46000669.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (966000649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14417887 + ... + 14417953.
Almost surely, 2966000640 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 966000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283454576).
966000640 is an abundant number, since it is smaller than the sum of its proper divisors (1600908512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
966000640 is an frugal number, since it uses more digits than its factorization.
966000640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 31.
The square root of 966000640 is about 31080.5508316696. The cubic root of 966000640 is about 988.5359579578.
The spelling of 966000640 in words is "nine hundred sixty-six million, six hundred forty", and thus it is an aban number.
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