Base | Representation |
---|---|
bin | 1111011111111… |
… | …0110001010100 |
3 | 11112022200101200 |
4 | 3313332301110 |
5 | 113120203201 |
6 | 10241152500 |
7 | 1416355560 |
oct | 367766124 |
9 | 145280350 |
10 | 65006676 |
11 | 33770529 |
12 | 1992b730 |
13 | 10610ab7 |
14 | 88c26a0 |
15 | 5a91386 |
hex | 3dfec54 |
65006676 has 72 divisors (see below), whose sum is σ = 197695680. Its totient is φ = 17594496.
The previous prime is 65006647. The next prime is 65006701. The reversal of 65006676 is 67660056.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 65006676.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2001 + ... + 11576.
Almost surely, 265006676 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 65006676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847840).
65006676 is an abundant number, since it is smaller than the sum of its proper divisors (132689004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65006676 is a wasteful number, since it uses less digits than its factorization.
65006676 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13613 (or 13608 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 65006676 is about 8062.6717656122. The cubic root of 65006676 is about 402.0863407031.
The spelling of 65006676 in words is "sixty-five million, six thousand, six hundred seventy-six".
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