Base | Representation |
---|---|
bin | 101101110011… |
… | …0110101000000 |
3 | 1200012001012202 |
4 | 1123212311000 |
5 | 22121423034 |
6 | 2214412332 |
7 | 411055040 |
oct | 133466500 |
9 | 50161182 |
10 | 24014144 |
11 | 12612200 |
12 | 80610a8 |
13 | 4c8a56b |
14 | 3291720 |
15 | 219547e |
hex | 16e6d40 |
24014144 has 84 divisors (see below), whose sum is σ = 59996832. Its totient is φ = 9335040.
The previous prime is 24014143. The next prime is 24014161. The reversal of 24014144 is 44141042.
It is a happy number.
It is a super-2 number, since 2×240141442 = 1153358224105472, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (24014143) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53987 + ... + 54429.
It is an arithmetic number, because the mean of its divisors is an integer number (714248).
Almost surely, 224014144 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 24014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998416).
24014144 is an abundant number, since it is smaller than the sum of its proper divisors (35982688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24014144 is a wasteful number, since it uses less digits than its factorization.
24014144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 484 (or 463 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 24014144 is about 4900.4228388987. The cubic root of 24014144 is about 288.5065673168.
Adding to 24014144 its reverse (44141042), we get a palindrome (68155186).
The spelling of 24014144 in words is "twenty-four million, fourteen thousand, one hundred forty-four".
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