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204147420 = 223573127367
BaseRepresentation
bin11000010101100…
…00101011011100
3112020010202121120
430022300223130
5404230204140
632131330540
75026136661
oct1412605334
9466122546
10204147420
11a5265a84
1258450a50
13333a9cb9
141d181a68
1512dc81d0
hexc2b0adc

204147420 has 96 divisors (see below), whose sum is σ = 585596928. Its totient is φ = 53125632.

The previous prime is 204147413. The next prime is 204147421. The reversal of 204147420 is 24741402.

204147420 = T54 + T55 + ... + T1069.

204147420 is digitally balanced in base 3, 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 (204147421) 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 31 ways as a sum of consecutive naturals, for example, 556077 + ... + 556443.

It is an arithmetic number, because the mean of its divisors is an integer number (6099968).

Almost surely, 2204147420 is an apocalyptic number.

204147420 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 204147420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292798464).

204147420 is an abundant number, since it is smaller than the sum of its proper divisors (381449508).

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

204147420 is a wasteful number, since it uses less digits than its factorization.

204147420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 204147420 is about 14288.0166573251. The cubic root of 204147420 is about 588.8182993326.

Adding to 204147420 its reverse (24741402), we get a palindrome (228888822).

The spelling of 204147420 in words is "two hundred four million, one hundred forty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 127 146 219 254 292 365 367 381 438 508 635 730 734 762 876 1095 1101 1270 1460 1468 1524 1835 1905 2190 2202 2540 3670 3810 4380 4404 5505 7340 7620 9271 11010 18542 22020 26791 27813 37084 46355 46609 53582 55626 80373 92710 93218 107164 111252 133955 139065 139827 160746 185420 186436 233045 267910 278130 279654 321492 401865 466090 535820 556260 559308 699135 803730 932180 1398270 1607460 2796540 3402457 6804914 10207371 13609828 17012285 20414742 34024570 40829484 51036855 68049140 102073710 204147420