Base | Representation |
---|---|
bin | 100011001001… |
… | …0000010000000 |
3 | 1021200000220000 |
4 | 1012102002000 |
5 | 14204031221 |
6 | 1454520000 |
7 | 312413046 |
oct | 106220200 |
9 | 37600800 |
10 | 18423936 |
11 | a4441a3 |
12 | 6206000 |
13 | 3a80c4b |
14 | 2638396 |
15 | 193de26 |
hex | 1192080 |
18423936 has 80 divisors (see below), whose sum is σ = 54860190. Its totient is φ = 6137856.
The previous prime is 18423931. The next prime is 18423949. The reversal of 18423936 is 63932481.
It can be written as a sum of positive squares in only one way, i.e., 15681600 + 2742336 = 3960^2 + 1656^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 18423936.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18423931) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9480 + ... + 11256.
Almost surely, 218423936 is an apocalyptic number.
18423936 is a gapful number since it is divisible by the number (16) 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 18423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27430095).
18423936 is an abundant number, since it is smaller than the sum of its proper divisors (36436254).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18423936 is an equidigital number, since it uses as much as digits as its factorization.
18423936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1803 (or 1782 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 18423936 is about 4292.3112655072. The cubic root of 18423936 is about 264.1156518078.
It can be divided in two parts, 1842 and 3936, that added together give a triangular number (5778 = T107).
The spelling of 18423936 in words is "eighteen million, four hundred twenty-three thousand, nine hundred thirty-six".
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