Base | Representation |
---|---|
bin | 101100000111… |
… | …1000101000000 |
3 | 1121112010222200 |
4 | 1120033011000 |
5 | 21410133212 |
6 | 2143433200 |
7 | 400414443 |
oct | 130170500 |
9 | 47463880 |
10 | 23130432 |
11 | 12069266 |
12 | 78b5800 |
13 | 4a3b260 |
14 | 310165a |
15 | 206d6dc |
hex | 160f140 |
23130432 has 84 divisors (see below), whose sum is σ = 71422260. Its totient is φ = 7114752.
The previous prime is 23130409. The next prime is 23130449. The reversal of 23130432 is 23403132.
23130432 is a `hidden beast` number, since 231 + 3 + 0 + 432 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 10342656 = 3576^2 + 3216^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5944 + ... + 9032.
It is an arithmetic number, because the mean of its divisors is an integer number (850265).
Almost surely, 223130432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35711130).
23130432 is an abundant number, since it is smaller than the sum of its proper divisors (48291828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23130432 is a wasteful number, since it uses less digits than its factorization.
23130432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3120 (or 3107 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 23130432 is about 4809.4107747207. The cubic root of 23130432 is about 284.9232665074.
Adding to 23130432 its reverse (23403132), we get a palindrome (46533564).
The spelling of 23130432 in words is "twenty-three million, one hundred thirty thousand, four hundred thirty-two".
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