Base | Representation |
---|---|
bin | 10000000000111… |
… | …001100000000000 |
3 | 200201112220021220 |
4 | 100000321200000 |
5 | 1022234432401 |
6 | 42354315040 |
7 | 6441444210 |
oct | 2000714000 |
9 | 621486256 |
10 | 268670976 |
11 | 128726532 |
12 | 75b88a80 |
13 | 4387bc12 |
14 | 2797a240 |
15 | 188c1336 |
hex | 10039800 |
268670976 has 96 divisors (see below), whose sum is σ = 818737920. Its totient is φ = 76750848.
The previous prime is 268670971. The next prime is 268670977. The reversal of 268670976 is 679076862.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (268670971) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39885 + ... + 46131.
It is an arithmetic number, because the mean of its divisors is an integer number (8528520).
Almost surely, 2268670976 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 268670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409368960).
268670976 is an abundant number, since it is smaller than the sum of its proper divisors (550066944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268670976 is an equidigital number, since it uses as much as digits as its factorization.
268670976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6279 (or 6259 counting only the distinct ones).
The product of its (nonzero) digits is 1524096, while the sum is 51.
The square root of 268670976 is about 16391.1859241484. The cubic root of 268670976 is about 645.2681824506.
The spelling of 268670976 in words is "two hundred sixty-eight million, six hundred seventy thousand, nine hundred seventy-six".
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