Base | Representation |
---|---|
bin | 101101010100… |
… | …1100101000000 |
3 | 1122201022001220 |
4 | 1122221211000 |
5 | 22040411024 |
6 | 2205155040 |
7 | 405661440 |
oct | 132514500 |
9 | 48638056 |
10 | 23763264 |
11 | 12460768 |
12 | 7b5ba80 |
13 | 4c00305 |
14 | 3228120 |
15 | 2145e79 |
hex | 16a9940 |
23763264 has 56 divisors (see below), whose sum is σ = 71859648. Its totient is φ = 6789120.
The previous prime is 23763251. The next prime is 23763277. The reversal of 23763264 is 46236732.
It is an interprime number because it is at equal distance from previous prime (23763251) and next prime (23763277).
It is a tau number, because it is divible by the number of its divisors (56).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7497 + ... + 10184.
It is an arithmetic number, because the mean of its divisors is an integer number (1283208).
Almost surely, 223763264 is an apocalyptic number.
23763264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
23763264 is an abundant number, since it is smaller than the sum of its proper divisors (48096384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23763264 is a wasteful number, since it uses less digits than its factorization.
23763264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17703 (or 17693 counting only the distinct ones).
The product of its digits is 36288, while the sum is 33.
The square root of 23763264 is about 4874.7578401393. The cubic root of 23763264 is about 287.4983551261.
Adding to 23763264 its reverse (46236732), we get a palindrome (69999996).
The spelling of 23763264 in words is "twenty-three million, seven hundred sixty-three thousand, two hundred sixty-four".
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