Base | Representation |
---|---|
bin | 11010101101001110001000 |
3 | 111011200112010 |
4 | 122231032020 |
5 | 3243012333 |
6 | 410015520 |
7 | 113335662 |
oct | 32551610 |
9 | 14150463 |
10 | 7000968 |
11 | 3a51a27 |
12 | 24175a0 |
13 | 15b17b0 |
14 | d03532 |
15 | 934563 |
hex | 6ad388 |
7000968 has 64 divisors (see below), whose sum is σ = 19857600. Its totient is φ = 2039040.
The previous prime is 7000943. The next prime is 7000969. The reversal of 7000968 is 8690007.
It is a happy number.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (7000969) 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 15 ways as a sum of consecutive naturals, for example, 5338 + ... + 6518.
It is an arithmetic number, because the mean of its divisors is an integer number (310275).
Almost surely, 27000968 is an apocalyptic number.
7000968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 7000968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928800).
7000968 is an abundant number, since it is smaller than the sum of its proper divisors (12856632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7000968 is a wasteful number, since it uses less digits than its factorization.
7000968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 30.
The square root of 7000968 is about 2645.9342395456. The cubic root of 7000968 is about 191.3019355726.
The spelling of 7000968 in words is "seven million, nine hundred sixty-eight", and thus it is an aban number.
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