Base | Representation |
---|---|
bin | 111101000101… |
… | …101011001000 |
3 | 1010010121010000 |
4 | 331011223020 |
5 | 13044422044 |
6 | 1331123000 |
7 | 253055055 |
oct | 75055310 |
9 | 33117100 |
10 | 16014024 |
11 | 9048634 |
12 | 5443460 |
13 | 3419070 |
14 | 21ac02c |
15 | 1614d69 |
hex | f45ac8 |
16014024 has 80 divisors (see below), whose sum is σ = 48329820. Its totient is φ = 4924800.
The previous prime is 16014023. The next prime is 16014029. The reversal of 16014024 is 42041061.
16014024 is a `hidden beast` number, since 1 + 601 + 40 + 24 = 666.
16014024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 13089924 + 2924100 = 3618^2 + 1710^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 16013988 and 16014006.
It is not an unprimeable number, because it can be changed into a prime (16014023) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7474 + ... + 9374.
Almost surely, 216014024 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 16014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24164910).
16014024 is an abundant number, since it is smaller than the sum of its proper divisors (32315796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16014024 is a wasteful number, since it uses less digits than its factorization.
16014024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1932 (or 1919 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 16014024 is about 4001.7526160421. The cubic root of 16014024 is about 252.0578098664.
Adding to 16014024 its reverse (42041061), we get a palindrome (58055085).
It can be divided in two parts, 1601 and 4024, that added together give a square (5625 = 752).
The spelling of 16014024 in words is "sixteen million, fourteen thousand, twenty-four".
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