Base | Representation |
---|---|
bin | 111101100101… |
… | …011111000000 |
3 | 1010101012211210 |
4 | 331211133000 |
5 | 13113104240 |
6 | 1334010120 |
7 | 254136663 |
oct | 75453700 |
9 | 33335753 |
10 | 16144320 |
11 | 9127515 |
12 | 54a6940 |
13 | 346346a |
14 | 22036da |
15 | 163d780 |
hex | f657c0 |
16144320 has 112 divisors (see below), whose sum is σ = 52230528. Its totient is φ = 4224000.
The previous prime is 16144313. The next prime is 16144327. The reversal of 16144320 is 2344161.
It is an interprime number because it is at equal distance from previous prime (16144313) and next prime (16144327).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16144327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64195 + ... + 64445.
It is an arithmetic number, because the mean of its divisors is an integer number (466344).
Almost surely, 216144320 is an apocalyptic number.
16144320 is a gapful number since it is divisible by the number (10) 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 16144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115264).
16144320 is an abundant number, since it is smaller than the sum of its proper divisors (36086208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16144320 is a wasteful number, since it uses less digits than its factorization.
16144320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 338 (or 328 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 16144320 is about 4017.9995022399. Note that the first 3 decimals coincide. The cubic root of 16144320 is about 252.7395759020.
Adding to 16144320 its reverse (2344161), we get a palindrome (18488481).
The spelling of 16144320 in words is "sixteen million, one hundred forty-four thousand, three hundred twenty".
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