Base | Representation |
---|---|
bin | 11111000101101… |
… | …10011010010000 |
3 | 200011201201010001 |
4 | 33202312122100 |
5 | 1013230402000 |
6 | 41513415344 |
7 | 6314466235 |
oct | 1742663220 |
9 | 604651101 |
10 | 260794000 |
11 | 124236435 |
12 | 7340a554 |
13 | 4205179c |
14 | 268c978c |
15 | 17d6746a |
hex | f8b6690 |
260794000 has 80 divisors (see below), whose sum is σ = 663886080. Its totient is φ = 98812800.
The previous prime is 260793997. The next prime is 260794003. The reversal of 260794000 is 497062.
260794000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (260793997) and next prime (260794003).
It is a tau number, because it is divible by the number of its divisors (80).
It is a self number, because there is not a number n which added to its sum of digits gives 260794000.
It is not an unprimeable number, because it can be changed into a prime (260794003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34569 + ... + 41431.
It is an arithmetic number, because the mean of its divisors is an integer number (8298576).
Almost surely, 2260794000 is an apocalyptic number.
260794000 is a gapful number since it is divisible by the number (20) 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 260794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331943040).
260794000 is an abundant number, since it is smaller than the sum of its proper divisors (403092080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
260794000 is a wasteful number, since it uses less digits than its factorization.
260794000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6905 (or 6889 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 28.
The square root of 260794000 is about 16149.1176229539. The cubic root of 260794000 is about 638.8994758450.
The spelling of 260794000 in words is "two hundred sixty million, seven hundred ninety-four thousand".
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