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204412420 = 225173716249
BaseRepresentation
bin11000010111100…
…01011000000100
3112020122020010101
430023301120010
5404312144140
632141133444
75031322402
oct1413613004
9466566111
10204412420
11a5427093
125855a284
13334707c4
141d210472
1512e2b99a
hexc2f1604

204412420 has 48 divisors (see below), whose sum is σ = 466830000. Its totient is φ = 74870784.

The previous prime is 204412409. The next prime is 204412433. The reversal of 204412420 is 24214402.

It can be written as a sum of positive squares in 8 ways, for example, as 24423364 + 179989056 = 4942^2 + 13416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4456 + ... + 20704.

It is an arithmetic number, because the mean of its divisors is an integer number (9725625).

Almost surely, 2204412420 is an apocalyptic number.

204412420 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 204412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415000).

204412420 is an abundant number, since it is smaller than the sum of its proper divisors (262417580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204412420 is a wasteful number, since it uses less digits than its factorization.

204412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16312 (or 16310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 204412420 is about 14297.2871552613. The cubic root of 204412420 is about 589.0729672286.

Adding to 204412420 its reverse (24214402), we get a palindrome (228626822).

The spelling of 204412420 in words is "two hundred four million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 16249 32498 64996 81245 162490 276233 324980 552466 601213 1104932 1202426 1381165 2404852 2762330 3006065 5524660 6012130 10220621 12024260 20441242 40882484 51103105 102206210 204412420