Base | Representation |
---|---|
bin | 101101000000… |
… | …1101111000000 |
3 | 1122102000012110 |
4 | 1122001233000 |
5 | 22020200224 |
6 | 2201455320 |
7 | 404411565 |
oct | 132015700 |
9 | 48360173 |
10 | 23600064 |
11 | 1235a094 |
12 | 7aa1540 |
13 | 4b73c47 |
14 | 31c486c |
15 | 2112929 |
hex | 1681bc0 |
23600064 has 56 divisors (see below), whose sum is σ = 63111888. Its totient is φ = 7782400.
The previous prime is 23600039. The next prime is 23600069. The reversal of 23600064 is 46000632.
It is a self number, because there is not a number n which added to its sum of digits gives 23600064.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23600069) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18784 + ... + 20000.
It is an arithmetic number, because the mean of its divisors is an integer number (1126998).
Almost surely, 223600064 is an apocalyptic number.
23600064 is a gapful number since it is divisible by the number (24) 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 23600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31555944).
23600064 is an abundant number, since it is smaller than the sum of its proper divisors (39511824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23600064 is a wasteful number, since it uses less digits than its factorization.
23600064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1333 (or 1323 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
The square root of 23600064 is about 4857.9897076877. The cubic root of 23600064 is about 286.8386876922.
Adding to 23600064 its reverse (46000632), we get a palindrome (69600696).
The spelling of 23600064 in words is "twenty-three million, six hundred thousand, sixty-four".
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