Base | Representation |
---|---|
bin | 100110011001… |
… | …1001001001000 |
3 | 1101212211111100 |
4 | 1030303021020 |
5 | 20123214144 |
6 | 1555301400 |
7 | 333060054 |
oct | 114631110 |
9 | 41784440 |
10 | 20132424 |
11 | 10400874 |
12 | 68aa860 |
13 | 422b7a0 |
14 | 2960c64 |
15 | 1b7a269 |
hex | 1333248 |
20132424 has 96 divisors (see below), whose sum is σ = 59524920. Its totient is φ = 6110208.
The previous prime is 20132407. The next prime is 20132443. The reversal of 20132424 is 42423102.
It can be written as a sum of positive squares in 4 ways, for example, as 12744900 + 7387524 = 3570^2 + 2718^2 .
It is a super-2 number, since 2×201324242 = 810628992231552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 20132397 and 20132406.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128154 + ... + 128310.
Almost surely, 220132424 is an apocalyptic number.
20132424 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 20132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762460).
20132424 is an abundant number, since it is smaller than the sum of its proper divisors (39392496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20132424 is a wasteful number, since it uses less digits than its factorization.
20132424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 319 (or 312 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 20132424 is about 4486.9169816256. The cubic root of 20132424 is about 272.0395343343.
Adding to 20132424 its reverse (42423102), we get a palindrome (62555526).
The spelling of 20132424 in words is "twenty million, one hundred thirty-two thousand, four hundred twenty-four".
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