Base | Representation |
---|---|
bin | 101101010110… |
… | …1111100000000 |
3 | 1122202012120020 |
4 | 1122231330000 |
5 | 22041443440 |
6 | 2205413440 |
7 | 406064466 |
oct | 132557400 |
9 | 48665506 |
10 | 23781120 |
11 | 12473120 |
12 | 7b6a280 |
13 | 4c0848c |
14 | 3230836 |
15 | 214b3d0 |
hex | 16adf00 |
23781120 has 144 divisors (see below), whose sum is σ = 83002752. Its totient is φ = 5754880.
The previous prime is 23781119. The next prime is 23781127. The reversal of 23781120 is 2118732.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23781127) 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, 41959 + ... + 42521.
It is an arithmetic number, because the mean of its divisors is an integer number (576408).
Almost surely, 223781120 is an apocalyptic number.
23781120 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 23781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41501376).
23781120 is an abundant number, since it is smaller than the sum of its proper divisors (59221632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23781120 is a wasteful number, since it uses less digits than its factorization.
23781120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 598 (or 584 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 24.
The square root of 23781120 is about 4876.5889718122. The cubic root of 23781120 is about 287.5703469949.
Adding to 23781120 its reverse (2118732), we get a palindrome (25899852).
The spelling of 23781120 in words is "twenty-three million, seven hundred eighty-one thousand, one hundred twenty".
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