Search a number
-
+
204203120 = 24511232049
BaseRepresentation
bin11000010101111…
…10010001110000
3112020020121000112
430022332101300
5404233444440
632132440452
75026461242
oct1412762160
9466217015
10204203120
11a52a3910
1258479128
13333c9464
141d198092
1512dd9965
hexc2be470

204203120 has 40 divisors (see below), whose sum is σ = 517935600. Its totient is φ = 74255360.

The previous prime is 204203081. The next prime is 204203137. The reversal of 204203120 is 21302402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 204203095 and 204203104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 115145 + ... + 116904.

It is an arithmetic number, because the mean of its divisors is an integer number (12948390).

Almost surely, 2204203120 is an apocalyptic number.

204203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204203120 is an abundant number, since it is smaller than the sum of its proper divisors (313732480).

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

204203120 is a wasteful number, since it uses less digits than its factorization.

204203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232073 (or 232067 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 204203120 is about 14289.9657102458. The cubic root of 204203120 is about 588.8718459263.

Adding to 204203120 its reverse (21302402), we get a palindrome (225505522).

The spelling of 204203120 in words is "two hundred four million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 232049 464098 928196 1160245 1856392 2320490 2552539 3712784 4640980 5105078 9281960 10210156 12762695 18563920 20420312 25525390 40840624 51050780 102101560 204203120