Base | Representation |
---|---|
bin | 100110111101… |
… | …1111001100000 |
3 | 1102102222021200 |
4 | 1031323321200 |
5 | 20212233212 |
6 | 2005521200 |
7 | 335440641 |
oct | 115737140 |
9 | 42388250 |
10 | 20430432 |
11 | 10594760 |
12 | 6a13200 |
13 | 4304319 |
14 | 29db6c8 |
15 | 1bd86dc |
hex | 137be60 |
20430432 has 72 divisors (see below), whose sum is σ = 63390600. Its totient is φ = 6190080.
The previous prime is 20430409. The next prime is 20430439. The reversal of 20430432 is 23403402.
20430432 is a `hidden beast` number, since 204 + 30 + 432 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20430439) 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, 57 + ... + 6392.
It is an arithmetic number, because the mean of its divisors is an integer number (880425).
Almost surely, 220430432 is an apocalyptic number.
20430432 is a gapful number since it is divisible by the number (22) 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 20430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31695300).
20430432 is an abundant number, since it is smaller than the sum of its proper divisors (42960168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20430432 is a wasteful number, since it uses less digits than its factorization.
20430432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6476 (or 6465 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 20430432 is about 4520.0035398216. The cubic root of 20430432 is about 273.3752437553.
Adding to 20430432 its reverse (23403402), we get a palindrome (43833834).
The spelling of 20430432 in words is "twenty million, four hundred thirty thousand, four hundred thirty-two".
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