Base | Representation |
---|---|
bin | 111110000110… |
… | …010011110000 |
3 | 1010122001021100 |
4 | 332012103300 |
5 | 13131410033 |
6 | 1340524400 |
7 | 255236652 |
oct | 76062360 |
9 | 33561240 |
10 | 16278768 |
11 | 9209530 |
12 | 5550700 |
13 | 34ac70c |
14 | 223a6d2 |
15 | 1668513 |
hex | f864f0 |
16278768 has 120 divisors (see below), whose sum is σ = 51068160. Its totient is φ = 4798080.
The previous prime is 16278767. The next prime is 16278793. The reversal of 16278768 is 86787261.
16278768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16278761) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67993 + ... + 68231.
It is an arithmetic number, because the mean of its divisors is an integer number (425568).
Almost surely, 216278768 is an apocalyptic number.
16278768 is a gapful number since it is divisible by the number (18) 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 16278768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).
16278768 is an abundant number, since it is smaller than the sum of its proper divisors (34789392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16278768 is a wasteful number, since it uses less digits than its factorization.
16278768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 307 (or 298 counting only the distinct ones).
The product of its digits is 225792, while the sum is 45.
The square root of 16278768 is about 4034.6955275460. The cubic root of 16278768 is about 253.4392324261.
It can be divided in two parts, 16 and 278768, that added together give a square (278784 = 5282).
The spelling of 16278768 in words is "sixteen million, two hundred seventy-eight thousand, seven hundred sixty-eight".
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