Base | Representation |
---|---|
bin | 101101111001… |
… | …1101001010000 |
3 | 1200021201020001 |
4 | 1123303221100 |
5 | 22130113030 |
6 | 2215455344 |
7 | 411364063 |
oct | 133635120 |
9 | 50251201 |
10 | 24066640 |
11 | 12648694 |
12 | 8087554 |
13 | 4ca8420 |
14 | 32a68da |
15 | 21a5cca |
hex | 16f3a50 |
24066640 has 80 divisors (see below), whose sum is σ = 61277328. Its totient is φ = 8736768.
The previous prime is 24066617. The next prime is 24066641. The reversal of 24066640 is 4666042.
It can be written as a sum of positive squares in 8 ways, for example, as 5645376 + 18421264 = 2376^2 + 4292^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 24066599 and 24066608.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (24066641) 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, 75762 + ... + 76078.
Almost surely, 224066640 is an apocalyptic number.
24066640 is a gapful number since it is divisible by the number (20) 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 24066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638664).
24066640 is an abundant number, since it is smaller than the sum of its proper divisors (37210688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24066640 is a wasteful number, since it uses less digits than its factorization.
24066640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 416 (or 410 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
The square root of 24066640 is about 4905.7761873123. The cubic root of 24066640 is about 288.7166437609.
The spelling of 24066640 in words is "twenty-four million, sixty-six thousand, six hundred forty".
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