Base | Representation |
---|---|
bin | 101100001001… |
… | …0101101101000 |
3 | 1121112220102002 |
4 | 1120102231220 |
5 | 21411122240 |
6 | 2144030132 |
7 | 400506032 |
oct | 130225550 |
9 | 47486362 |
10 | 23145320 |
11 | 12079470 |
12 | 7902348 |
13 | 4a44c73 |
14 | 3106c52 |
15 | 2072d15 |
hex | 1612b68 |
23145320 has 64 divisors (see below), whose sum is σ = 58242240. Its totient is φ = 8204800.
The previous prime is 23145299. The next prime is 23145323. The reversal of 23145320 is 2354132.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 23145292 and 23145301.
It is not an unprimeable number, because it can be changed into a prime (23145323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17399 + ... + 18681.
It is an arithmetic number, because the mean of its divisors is an integer number (910035).
Almost surely, 223145320 is an apocalyptic number.
23145320 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 23145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29121120).
23145320 is an abundant number, since it is smaller than the sum of its proper divisors (35096920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23145320 is a wasteful number, since it uses less digits than its factorization.
23145320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 23145320 is about 4810.9583244921. The cubic root of 23145320 is about 284.9843840833.
Adding to 23145320 its reverse (2354132), we get a palindrome (25499452).
The spelling of 23145320 in words is "twenty-three million, one hundred forty-five thousand, three hundred twenty".
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