Base | Representation |
---|---|
bin | 101101010100… |
… | …1100111110000 |
3 | 1122201022022102 |
4 | 1122221213300 |
5 | 22040412230 |
6 | 2205155532 |
7 | 405662111 |
oct | 132514760 |
9 | 48638272 |
10 | 23763440 |
11 | 12460908 |
12 | 7b5bba8 |
13 | 4c0040c |
14 | 3228208 |
15 | 2146045 |
hex | 16a99f0 |
23763440 has 40 divisors (see below), whose sum is σ = 55673520. Its totient is φ = 9432576.
The previous prime is 23763431. The next prime is 23763461. The reversal of 23763440 is 4436732.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 10052 + ... + 12188.
It is an arithmetic number, because the mean of its divisors is an integer number (1391838).
Almost surely, 223763440 is an apocalyptic number.
23763440 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 23763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27836760).
23763440 is an abundant number, since it is smaller than the sum of its proper divisors (31910080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23763440 is a wasteful number, since it uses less digits than its factorization.
23763440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2289 (or 2283 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 29.
The square root of 23763440 is about 4874.7758922847. The cubic root of 23763440 is about 287.4990648993.
The spelling of 23763440 in words is "twenty-three million, seven hundred sixty-three thousand, four hundred forty".
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