Base | Representation |
---|---|
bin | 11000111111100… |
… | …10100101100000 |
3 | 112121111211210200 |
4 | 30133302211200 |
5 | 412133112011 |
6 | 32445425200 |
7 | 5124040251 |
oct | 1437624540 |
9 | 477454720 |
10 | 209660256 |
11 | a8390943 |
12 | 5a26b200 |
13 | 3458a330 |
14 | 1dbb8b28 |
15 | 13616856 |
hex | c7f2960 |
209660256 has 144 divisors (see below), whose sum is σ = 664569360. Its totient is φ = 62254080.
The previous prime is 209660239. The next prime is 209660261. The reversal of 209660256 is 652066902.
209660256 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 209660256.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107611 + ... + 109541.
It is an arithmetic number, because the mean of its divisors is an integer number (4615065).
Almost surely, 2209660256 is an apocalyptic number.
209660256 is a gapful number since it is divisible by the number (26) 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 209660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332284680).
209660256 is an abundant number, since it is smaller than the sum of its proper divisors (454909104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
209660256 is a wasteful number, since it uses less digits than its factorization.
209660256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1989 (or 1978 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 209660256 is about 14479.6497195202. The cubic root of 209660256 is about 594.0714807016.
The spelling of 209660256 in words is "two hundred nine million, six hundred sixty thousand, two hundred fifty-six".
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