Base | Representation |
---|---|
bin | 101101010010… |
… | …1100110011000 |
3 | 1122200110201100 |
4 | 1122211212120 |
5 | 22034400333 |
6 | 2204551400 |
7 | 405563100 |
oct | 132454630 |
9 | 48613640 |
10 | 23746968 |
11 | 1244a4a3 |
12 | 7b52560 |
13 | 4bc5a7b |
14 | 3222200 |
15 | 2141213 |
hex | 16a5998 |
23746968 has 144 divisors (see below), whose sum is σ = 76826880. Its totient is φ = 6604416.
The previous prime is 23746967. The next prime is 23746993. The reversal of 23746968 is 86964732.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (435456) is a multiple of the sum of its prime divisors (192).
It is a nialpdrome in base 14.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23746963) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186921 + ... + 187047.
It is an arithmetic number, because the mean of its divisors is an integer number (533520).
Almost surely, 223746968 is an apocalyptic number.
23746968 is a gapful number since it is divisible by the number (28) 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 23746968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).
23746968 is an abundant number, since it is smaller than the sum of its proper divisors (53079912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23746968 is a wasteful number, since it uses less digits than its factorization.
23746968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 206 (or 192 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 23746968 is about 4873.0860858392. The cubic root of 23746968 is about 287.4326213874.
The spelling of 23746968 in words is "twenty-three million, seven hundred forty-six thousand, nine hundred sixty-eight".
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