Base | Representation |
---|---|
bin | 101110000001… |
… | …1100111100000 |
3 | 1200102000222011 |
4 | 1130003213200 |
5 | 22134211224 |
6 | 2221122304 |
7 | 412055605 |
oct | 134034740 |
9 | 50360864 |
10 | 24132064 |
11 | 12692860 |
12 | 80b9394 |
13 | 4ccc138 |
14 | 32c26ac |
15 | 21ba394 |
hex | 17039e0 |
24132064 has 48 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 10879360.
The previous prime is 24132049. The next prime is 24132079. The reversal of 24132064 is 46023142.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (24132049) and next prime (24132079).
It is a Harshad number since it is a multiple of its sum of digits (22).
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 7 ways as a sum of consecutive naturals, for example, 62817 + ... + 63199.
It is an arithmetic number, because the mean of its divisors is an integer number (1088640).
Almost surely, 224132064 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 24132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).
24132064 is an abundant number, since it is smaller than the sum of its proper divisors (28122656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24132064 is a wasteful number, since it uses less digits than its factorization.
24132064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 583 (or 575 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 24132064 is about 4912.4397197319. The cubic root of 24132064 is about 288.9780278071.
The spelling of 24132064 in words is "twenty-four million, one hundred thirty-two thousand, sixty-four".
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