| Base | Representation |
|---|---|
| bin | 11111000000011… |
| … | …01010111100000 |
| 3 | 200010102112022121 |
| 4 | 33200031113200 |
| 5 | 1013041222400 |
| 6 | 41450514024 |
| 7 | 6305553463 |
| oct | 1740152740 |
| 9 | 603375277 |
| 10 | 260101600 |
| 11 | 123903200 |
| 12 | 73135914 |
| 13 | 41b6b595 |
| 14 | 267892da |
| 15 | 17c7c21a |
| hex | f80d5e0 |
260101600 has 108 divisors (see below), whose sum is σ = 698205312. Its totient is φ = 94547200.
The previous prime is 260101591. The next prime is 260101607. The reversal of 260101600 is 6101062.
260101600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (260101607) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95457 + ... + 98143.
It is an arithmetic number, because the mean of its divisors is an integer number (6464864).
Almost surely, 2260101600 is an apocalyptic number.
260101600 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 260101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349102656).
260101600 is an abundant number, since it is smaller than the sum of its proper divisors (438103712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
260101600 is a wasteful number, since it uses less digits than its factorization.
260101600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2729 (or 2705 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
The square root of 260101600 is about 16127.6656711379. The cubic root of 260101600 is about 638.3335552692. Note that the first 3 decimals are identical.
Adding to 260101600 its reverse (6101062), we get a palindrome (266202662).
The spelling of 260101600 in words is "two hundred sixty million, one hundred one thousand, six hundred".
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