Base | Representation |
---|---|
bin | 11110111111101… |
… | …11000000000000 |
3 | 200010020212122102 |
4 | 33133313000000 |
5 | 1013030304414 |
6 | 41444525532 |
7 | 6305022413 |
oct | 1737670000 |
9 | 603225572 |
10 | 260009984 |
11 | 123850393 |
12 | 730b08a8 |
13 | 41b38980 |
14 | 26763b7a |
15 | 17c5eede |
hex | f7f7000 |
260009984 has 104 divisors (see below), whose sum is σ = 591717840. Its totient is φ = 113246208.
The previous prime is 260009977. The next prime is 260010001. The reversal of 260009984 is 489900062.
260009984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (104).
It is a Harshad number since it is a multiple of its sum of digits (38).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011584 + ... + 1011840.
Almost surely, 2260009984 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 260009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295858920).
260009984 is an abundant number, since it is smaller than the sum of its proper divisors (331707856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
260009984 is a wasteful number, since it uses less digits than its factorization.
260009984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 313 (or 291 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 38.
The square root of 260009984 is about 16124.8250843226. The cubic root of 260009984 is about 638.2585993869.
The spelling of 260009984 in words is "two hundred sixty million, nine thousand, nine hundred eighty-four".
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