Base | Representation |
---|---|
bin | 101101010111… |
… | …0100000000000 |
3 | 1122202022201120 |
4 | 1122232200000 |
5 | 22042032144 |
6 | 2205432240 |
7 | 406104300 |
oct | 132564000 |
9 | 48668646 |
10 | 23783424 |
11 | 12474925 |
12 | 7b6b680 |
13 | 4c09542 |
14 | 3231600 |
15 | 214be19 |
hex | 16ae800 |
23783424 has 144 divisors (see below), whose sum is σ = 74692800. Its totient is φ = 6709248.
The previous prime is 23783423. The next prime is 23783447. The reversal of 23783424 is 42438732.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (23783423) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301017 + ... + 301095.
It is an arithmetic number, because the mean of its divisors is an integer number (518700).
Almost surely, 223783424 is an apocalyptic number.
23783424 is a gapful number since it is divisible by the number (24) 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 23783424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346400).
23783424 is an abundant number, since it is smaller than the sum of its proper divisors (50909376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23783424 is an equidigital number, since it uses as much as digits as its factorization.
23783424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 118 (or 91 counting only the distinct ones).
The product of its digits is 32256, while the sum is 33.
The square root of 23783424 is about 4876.8251967853. The cubic root of 23783424 is about 287.5796336431.
The spelling of 23783424 in words is "twenty-three million, seven hundred eighty-three thousand, four hundred twenty-four".
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