| Base | Representation |
|---|---|
| bin | 111110111110100… |
| … | …1111011000000000 |
| 3 | 12110021100222100000 |
| 4 | 1331331033120000 |
| 5 | 13311440041020 |
| 6 | 545405200000 |
| 7 | 103236644511 |
| oct | 17575173000 |
| 9 | 5407328300 |
| 10 | 2113205760 |
| 11 | 994938846 |
| 12 | 4ab860000 |
| 13 | 278a62913 |
| 14 | 160926a08 |
| 15 | c57c5090 |
| hex | 7df4f600 |
2113205760 has 480 divisors, whose sum is σ = 7864496640. Its totient is φ = 543449088.
The previous prime is 2113205747. The next prime is 2113205767. The reversal of 2113205760 is 675023112.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2113205767) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26749401 + ... + 26749479.
It is an arithmetic number, because the mean of its divisors is an integer number (16384368).
Almost surely, 22113205760 is an apocalyptic number.
2113205760 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 2113205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932248320).
2113205760 is an abundant number, since it is smaller than the sum of its proper divisors (5751290880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2113205760 is an frugal number, since it uses more digits than its factorization.
2113205760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 2113205760 is about 45969.6177926247. The cubic root of 2113205760 is about 1283.2578469495.
Adding to 2113205760 its reverse (675023112), we get a palindrome (2788228872).
The spelling of 2113205760 in words is "two billion, one hundred thirteen million, two hundred five thousand, seven hundred sixty".
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