Base | Representation |
---|---|
bin | 11111000010100… |
… | …00001000000000 |
3 | 200010221102102000 |
4 | 33201100020000 |
5 | 1013124000130 |
6 | 41500424000 |
7 | 6311102622 |
oct | 1741201000 |
9 | 603842360 |
10 | 260375040 |
11 | 123a7a692 |
12 | 73248000 |
13 | 41c35b93 |
14 | 2681ac12 |
15 | 17cd3260 |
hex | f850200 |
260375040 has 160 divisors (see below), whose sum is σ = 925119360. Its totient is φ = 69414912.
The previous prime is 260375029. The next prime is 260375041. The reversal of 260375040 is 40573062.
It is a happy number.
260375040 is a `hidden beast` number, since 2 + 603 + 7 + 50 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×2603750402 = 135590322910003200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 260374995 and 260375013.
It is not an unprimeable number, because it can be changed into a prime (260375041) 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, 67237 + ... + 71003.
It is an arithmetic number, because the mean of its divisors is an integer number (5781996).
Almost surely, 2260375040 is an apocalyptic number.
260375040 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 260375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462559680).
260375040 is an abundant number, since it is smaller than the sum of its proper divisors (664744320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
260375040 is an equidigital number, since it uses as much as digits as its factorization.
260375040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3799 (or 3777 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 260375040 is about 16136.1408025587. The cubic root of 260375040 is about 638.5571663471.
The spelling of 260375040 in words is "two hundred sixty million, three hundred seventy-five thousand, forty".
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