Base | Representation |
---|---|
bin | 11000010101010… |
… | …10110100011100 |
3 | 112020002112200200 |
4 | 30022222310130 |
5 | 404223422140 |
6 | 32131023500 |
7 | 5026010004 |
oct | 1412526434 |
9 | 466075620 |
10 | 204123420 |
11 | a5249a46 |
12 | 5843ab90 |
13 | 3339c0b7 |
14 | 1d177004 |
15 | 12dc1030 |
hex | c2aad1c |
204123420 has 144 divisors (see below), whose sum is σ = 671999328. Its totient is φ = 49950720.
The previous prime is 204123401. The next prime is 204123427. The reversal of 204123420 is 24321402.
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 = 204123393 and 204123402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (204123427) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124647 + ... + 126273.
It is an arithmetic number, because the mean of its divisors is an integer number (4666662).
Almost surely, 2204123420 is an apocalyptic number.
204123420 is a gapful number since it is divisible by the number (20) 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 204123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335999664).
204123420 is an abundant number, since it is smaller than the sum of its proper divisors (467875908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204123420 is a wasteful number, since it uses less digits than its factorization.
204123420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1700 (or 1695 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 204123420 is about 14287.1767679972. The cubic root of 204123420 is about 588.7952241891.
Adding to 204123420 its reverse (24321402), we get a palindrome (228444822).
It can be divided in two parts, 20412 and 3420, that added together give a palindrome (23832).
The spelling of 204123420 in words is "two hundred four million, one hundred twenty-three thousand, four hundred twenty".
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