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204504320120 = 2357997667181
BaseRepresentation
bin1011111001110101101…
…0000100100001111000
3201112212020221212002112
42332131122010201320
511322311101220440
6233540433151452
720526544016432
oct2763532044170
9645766855075
10204504320120
11798033a2611
12337740bb588
1316391579159
149c803d3652
1554bdb17965
hex2f9d684878

204504320120 has 64 divisors (see below), whose sum is σ = 470763619200. Its totient is φ = 79933501440.

The previous prime is 204504320051. The next prime is 204504320129. The reversal of 204504320120 is 21023405402.

It is a happy number.

204504320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204504320129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27071 + ... + 640110.

It is an arithmetic number, because the mean of its divisors is an integer number (7355681550).

Almost surely, 2204504320120 is an apocalyptic number.

204504320120 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 204504320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235381809600).

204504320120 is an abundant number, since it is smaller than the sum of its proper divisors (266259299080).

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

204504320120 is a wasteful number, since it uses less digits than its factorization.

204504320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667368 (or 667364 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 204504320120 its reverse (21023405402), we get a palindrome (225527725522).

The spelling of 204504320120 in words is "two hundred four billion, five hundred four million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 97 158 194 316 388 395 485 632 776 790 970 1580 1940 3160 3880 7663 15326 30652 38315 61304 76630 153260 306520 667181 1334362 2668724 3335905 5337448 6671810 13343620 26687240 52707299 64716557 105414598 129433114 210829196 258866228 263536495 323582785 421658392 517732456 527072990 647165570 1054145980 1294331140 2108291960 2588662280 5112608003 10225216006 20450432012 25563040015 40900864024 51126080030 102252160060 204504320120