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204541120 = 2657127719
BaseRepresentation
bin11000011000100…
…00110011000000
3112020212202200001
430030100303000
5404330303440
632144005344
75032366540
oct1414206300
9466782601
10204541120
11a5504853
1258600854
13334b7264
141d245320
1512e54b9a
hexc310cc0

204541120 has 112 divisors (see below), whose sum is σ = 561807360. Its totient is φ = 69479424.

The previous prime is 204541037. The next prime is 204541157. The reversal of 204541120 is 21145402.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284121 + ... + 284839.

Almost surely, 2204541120 is an apocalyptic number.

204541120 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 204541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

204541120 is an abundant number, since it is smaller than the sum of its proper divisors (357266240).

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

204541120 is a wasteful number, since it uses less digits than its factorization.

204541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 204541120 is about 14301.7873008935. The cubic root of 204541120 is about 589.1965699357.

Adding to 204541120 its reverse (21145402), we get a palindrome (225686522).

The spelling of 204541120 in words is "two hundred four million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 224 254 280 320 448 508 560 635 719 889 1016 1120 1270 1438 1778 2032 2240 2540 2876 3556 3595 4064 4445 5033 5080 5752 7112 7190 8128 8890 10066 10160 11504 14224 14380 17780 20132 20320 23008 25165 28448 28760 35560 40264 40640 46016 50330 56896 57520 71120 80528 91313 100660 115040 142240 161056 182626 201320 230080 284480 322112 365252 402640 456565 639191 730504 805280 913130 1278382 1461008 1610560 1826260 2556764 2922016 3195955 3652520 5113528 5844032 6391910 7305040 10227056 12783820 14610080 20454112 25567640 29220160 40908224 51135280 102270560 204541120