Base | Representation |
---|---|
bin | 101100000111… |
… | …0010000000000 |
3 | 1121111222100001 |
4 | 1120032100000 |
5 | 21410031130 |
6 | 2143405344 |
7 | 400401526 |
oct | 130162000 |
9 | 47458301 |
10 | 23127040 |
11 | 12066762 |
12 | 78b3854 |
13 | 4a39851 |
14 | 3100316 |
15 | 206c6ca |
hex | 160e400 |
23127040 has 44 divisors (see below), whose sum is σ = 55490076. Its totient is φ = 9248768.
The previous prime is 23127019. The next prime is 23127053. The reversal of 23127040 is 4072132.
It can be written as a sum of positive squares in 2 ways, for example, as 2768896 + 20358144 = 1664^2 + 4512^2 .
It is a junction number, because it is equal to n+sod(n) for n = 23126999 and 23127017.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2862 + ... + 7378.
Almost surely, 223127040 is an apocalyptic number.
23127040 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 23127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27745038).
23127040 is an abundant number, since it is smaller than the sum of its proper divisors (32363036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23127040 is an equidigital number, since it uses as much as digits as its factorization.
23127040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4542 (or 4524 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 19.
The square root of 23127040 is about 4809.0581198401. The cubic root of 23127040 is about 284.9093381472.
Adding to 23127040 its reverse (4072132), we get a palindrome (27199172).
The spelling of 23127040 in words is "twenty-three million, one hundred twenty-seven thousand, forty".
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