Base | Representation |
---|---|
bin | 101101100100… |
… | …0110110000000 |
3 | 1122221210202000 |
4 | 1123020312000 |
5 | 22104010303 |
6 | 2212024000 |
7 | 410034006 |
oct | 133106600 |
9 | 48853660 |
10 | 23891328 |
11 | 125389aa |
12 | 8002000 |
13 | 4c466a6 |
14 | 325ca76 |
15 | 216dda3 |
hex | 16c8d80 |
23891328 has 128 divisors (see below), whose sum is σ = 73113600. Its totient is φ = 7672320.
The previous prime is 23891323. The next prime is 23891347. The reversal of 23891328 is 82319832.
It is a happy number.
23891328 is a nontrivial binomial coefficient, being equal to C(6913, 2).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 23891292 and 23891301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23891323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107025 + ... + 107247.
It is an arithmetic number, because the mean of its divisors is an integer number (571200).
Almost surely, 223891328 is an apocalyptic number.
23891328 is the 6912-nd triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36556800).
23891328 is an abundant number, since it is smaller than the sum of its proper divisors (49222272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23891328 is a wasteful number, since it uses less digits than its factorization.
23891328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 277 (or 259 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 23891328 is about 4887.8756121653. The cubic root of 23891328 is about 288.0138882191.
The spelling of 23891328 in words is "twenty-three million, eight hundred ninety-one thousand, three hundred twenty-eight".
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