Base | Representation |
---|---|
bin | 110110010011… |
… | …100101010000 |
3 | 222210021002200 |
4 | 312103211100 |
5 | 12121022414 |
6 | 1225043200 |
7 | 232001220 |
oct | 66234520 |
9 | 28707080 |
10 | 14235984 |
11 | 8043784 |
12 | 4926500 |
13 | 2c45979 |
14 | 1c68080 |
15 | 13b3109 |
hex | d93950 |
14235984 has 120 divisors (see below), whose sum is σ = 47199360. Its totient is φ = 3919104.
The previous prime is 14235983. The next prime is 14235989. The reversal of 14235984 is 48953241.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14235983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28989 + ... + 29475.
It is an arithmetic number, because the mean of its divisors is an integer number (393328).
Almost surely, 214235984 is an apocalyptic number.
14235984 is a gapful number since it is divisible by the number (14) 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 14235984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23599680).
14235984 is an abundant number, since it is smaller than the sum of its proper divisors (32963376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14235984 is a wasteful number, since it uses less digits than its factorization.
14235984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 537 (or 528 counting only the distinct ones).
The product of its digits is 34560, while the sum is 36.
The square root of 14235984 is about 3773.0602963642. The cubic root of 14235984 is about 242.3608667997.
The spelling of 14235984 in words is "fourteen million, two hundred thirty-five thousand, nine hundred eighty-four".
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