Base | Representation |
---|---|
bin | 11000101010011… |
… | …01011111100000 |
3 | 112102021221110001 |
4 | 30111031133200 |
5 | 410430340010 |
6 | 32310145344 |
7 | 5061336514 |
oct | 1425153740 |
9 | 472257401 |
10 | 206886880 |
11 | a68671a2 |
12 | 59352254 |
13 | 33b28b95 |
14 | 1d696144 |
15 | 13269c3a |
hex | c54d7e0 |
206886880 has 48 divisors (see below), whose sum is σ = 490432320. Its totient is φ = 82473472.
The previous prime is 206886871. The next prime is 206886881. The reversal of 206886880 is 88688602.
206886880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2068868802 = 85604362232268800, which contains 22 as substring.
It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 206886880.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (206886881) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48681 + ... + 52759.
It is an arithmetic number, because the mean of its divisors is an integer number (10217340).
Almost surely, 2206886880 is an apocalyptic number.
206886880 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 206886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245216160).
206886880 is an abundant number, since it is smaller than the sum of its proper divisors (283545440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206886880 is a wasteful number, since it uses less digits than its factorization.
206886880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4411 (or 4403 counting only the distinct ones).
The product of its (nonzero) digits is 294912, while the sum is 46.
The square root of 206886880 is about 14383.5628409654. The cubic root of 206886880 is about 591.4403952165.
The spelling of 206886880 in words is "two hundred six million, eight hundred eighty-six thousand, eight hundred eighty".
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