Base | Representation |
---|---|
bin | 110101110010… |
… | …110101000000 |
3 | 222112110001210 |
4 | 311302311000 |
5 | 12102224244 |
6 | 1222130120 |
7 | 230602122 |
oct | 65626500 |
9 | 28473053 |
10 | 14101824 |
11 | 7a61a00 |
12 | 4880940 |
13 | 2bc9899 |
14 | 1c31212 |
15 | 13884b9 |
hex | d72d40 |
14101824 has 84 divisors (see below), whose sum is σ = 41078912. Its totient is φ = 4266240.
The previous prime is 14101811. The next prime is 14101849. The reversal of 14101824 is 42810141.
It is a happy number.
It is a super-2 number, since 2×141018242 = 397722880253952, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 14101824.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 22929 + ... + 23535.
Almost surely, 214101824 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 14101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539456).
14101824 is an abundant number, since it is smaller than the sum of its proper divisors (26977088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14101824 is a wasteful number, since it uses less digits than its factorization.
14101824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 644 (or 623 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 21.
The square root of 14101824 is about 3755.2395396299. The cubic root of 14101824 is about 241.5971258229.
Adding to 14101824 its reverse (42810141), we get a palindrome (56911965).
The spelling of 14101824 in words is "fourteen million, one hundred one thousand, eight hundred twenty-four".
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