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204042060 = 223255919213
BaseRepresentation
bin11000010100101…
…10111101001100
3112012221102002100
430022112331030
5404213321220
632125155100
75025220545
oct1412267514
9465842070
10204042060
11a51a3902
12583bba90
1333371061
141d1554cc
1512da6d90
hexc296f4c

204042060 has 72 divisors (see below), whose sum is σ = 629450640. Its totient is φ = 53486208.

The previous prime is 204042049. The next prime is 204042071. The reversal of 204042060 is 60240402.

204042060 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204042049) and next prime (204042071).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014 + ... + 20226.

It is an arithmetic number, because the mean of its divisors is an integer number (8742370).

Almost surely, 2204042060 is an apocalyptic number.

204042060 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 204042060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314725320).

204042060 is an abundant number, since it is smaller than the sum of its proper divisors (425408580).

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

204042060 is a wasteful number, since it uses less digits than its factorization.

204042060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19287 (or 19282 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204042060 is about 14284.3291757086. The cubic root of 204042060 is about 588.7169859914.

Adding to 204042060 its reverse (60240402), we get a palindrome (264282462).

It can be divided in two parts, 2040 and 42060, that added together give a square (44100 = 2102).

The spelling of 204042060 in words is "two hundred four million, forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 19213 38426 57639 76852 96065 115278 172917 192130 230556 288195 345834 384260 576390 691668 864585 1133567 1152780 1729170 2267134 3400701 3458340 4534268 5667835 6801402 10202103 11335670 13602804 17003505 20404206 22671340 34007010 40808412 51010515 68014020 102021030 204042060