Base | Representation |
---|---|
bin | 110111110110… |
… | …110000100000 |
3 | 1000112220100000 |
4 | 313312300200 |
5 | 12222022313 |
6 | 1241500000 |
7 | 235312440 |
oct | 67666040 |
9 | 30486300 |
10 | 14642208 |
11 | 82a09a9 |
12 | 4aa1600 |
13 | 3058839 |
14 | 1d32120 |
15 | 1443673 |
hex | df6c20 |
14642208 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 4167936.
The previous prime is 14642183. The next prime is 14642209. The reversal of 14642208 is 80224641.
14642208 is a `hidden beast` number, since 14 + 642 + 2 + 0 + 8 = 666.
14642208 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 (27).
It is not an unprimeable number, because it can be changed into a prime (14642209) 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, 54298 + ... + 54566.
It is an arithmetic number, because the mean of its divisors is an integer number (343980).
It is a vampire number, since it can be written as 2421 ⋅ 6048 (with its own digits).
Almost surely, 214642208 is an apocalyptic number.
14642208 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 14642208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).
14642208 is an abundant number, since it is smaller than the sum of its proper divisors (34890912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14642208 is an equidigital number, since it uses as much as digits as its factorization.
14642208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 301 (or 281 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 14642208 is about 3826.5138180856. The cubic root of 14642208 is about 244.6445379718.
Adding to 14642208 its reverse (80224641), we get a palindrome (94866849).
The spelling of 14642208 in words is "fourteen million, six hundred forty-two thousand, two hundred eight".
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