Base | Representation |
---|---|
bin | 101011111100… |
… | …1000101000000 |
3 | 1121100120101012 |
4 | 1113321011000 |
5 | 21344242240 |
6 | 2141500052 |
7 | 366560642 |
oct | 127710500 |
9 | 47316335 |
10 | 23040320 |
11 | 12007596 |
12 | 7871628 |
13 | 4a09234 |
14 | 30ba892 |
15 | 2051b65 |
hex | 15f9140 |
23040320 has 56 divisors (see below), whose sum is σ = 55549800. Its totient is φ = 9101312.
The previous prime is 23040301. The next prime is 23040349. The reversal of 23040320 is 2304032.
It can be written as a sum of positive squares in 4 ways, for example, as 3041536 + 19998784 = 1744^2 + 4472^2 .
It is a junction number, because it is equal to n+sod(n) for n = 23040295 and 23040304.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 28076 + ... + 28884.
Almost surely, 223040320 is an apocalyptic number.
23040320 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 23040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27774900).
23040320 is an abundant number, since it is smaller than the sum of its proper divisors (32509480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23040320 is an equidigital number, since it uses as much as digits as its factorization.
23040320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 915 (or 905 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 23040320 is about 4800.0333332176. The cubic root of 23040320 is about 284.5527817210.
Adding to 23040320 its reverse (2304032), we get a palindrome (25344352).
The spelling of 23040320 in words is "twenty-three million, forty thousand, three hundred twenty".
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