Base | Representation |
---|---|
bin | 111001100101000… |
… | …000000101100100 |
3 | 2111022200221020200 |
4 | 321211000011210 |
5 | 3434244012441 |
6 | 235504430500 |
7 | 32636605302 |
oct | 7145000544 |
9 | 2438627220 |
10 | 966000996 |
11 | 456311934 |
12 | 22b618430 |
13 | 125194c2c |
14 | 9241b272 |
15 | 59c177b6 |
hex | 39940164 |
966000996 has 54 divisors (see below), whose sum is σ = 2593950450. Its totient is φ = 303055872.
The previous prime is 966000967. The next prime is 966001007. The reversal of 966000996 is 699000669.
It can be written as a sum of positive squares in 3 ways, for example, as 294465600 + 671535396 = 17160^2 + 25914^2 .
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
966000996 is a strobogrammatic number because it is the same when read upside-down.
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 36021 + ... + 56828.
Almost surely, 2966000996 is an apocalyptic number.
It is an amenable number.
966000996 is an abundant number, since it is smaller than the sum of its proper divisors (1627949454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
966000996 is a wasteful number, since it uses less digits than its factorization.
966000996 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92893 (or 92871 counting only the distinct ones).
The product of its (nonzero) digits is 157464, while the sum is 45.
The square root of 966000996 is about 31080.5565587233. The cubic root of 966000996 is about 988.5360793928.
The spelling of 966000996 in words is "nine hundred sixty-six million, nine hundred ninety-six", and thus it is an aban number.
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