Base | Representation |
---|---|
bin | 101100001000… |
… | …0010110000100 |
3 | 1121112102002211 |
4 | 1120100112010 |
5 | 21410314440 |
6 | 2143513204 |
7 | 400435534 |
oct | 130202604 |
9 | 47472084 |
10 | 23135620 |
11 | 12072152 |
12 | 78b8804 |
13 | 4a40721 |
14 | 31034c4 |
15 | 206eeea |
hex | 1610584 |
23135620 has 48 divisors (see below), whose sum is σ = 50848560. Its totient is φ = 8830976.
The previous prime is 23135617. The next prime is 23135627. The reversal of 23135620 is 2653132.
It can be written as a sum of positive squares in 8 ways, for example, as 4056196 + 19079424 = 2014^2 + 4368^2 .
It is a junction number, because it is equal to n+sod(n) for n = 23135591 and 23135600.
It is not an unprimeable number, because it can be changed into a prime (23135627) 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, 65364 + ... + 65716.
It is an arithmetic number, because the mean of its divisors is an integer number (1059345).
Almost surely, 223135620 is an apocalyptic number.
23135620 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 23135620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25424280).
23135620 is an abundant number, since it is smaller than the sum of its proper divisors (27712940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23135620 is a wasteful number, since it uses less digits than its factorization.
23135620 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 504 (or 502 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 22.
The square root of 23135620 is about 4809.9501036913. The cubic root of 23135620 is about 284.9445670377.
Adding to 23135620 its reverse (2653132), we get a palindrome (25788752).
The spelling of 23135620 in words is "twenty-three million, one hundred thirty-five thousand, six hundred twenty".
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