Search a number
-
+
204963538 = 2132619941
BaseRepresentation
bin11000011011101…
…11111011010010
3112021200020010011
430031313323102
5404432313123
632201025134
75036106223
oct1415677322
9467606104
10204963538
11a577315a
12587851aa
1333604600
141d31524a
1512ed9e0d
hexc377ed2

204963538 has 24 divisors (see below), whose sum is σ = 338405796. Its totient is φ = 93038400.

The previous prime is 204963523. The next prime is 204963553. The reversal of 204963538 is 835369402.

It is an interprime number because it is at equal distance from previous prime (204963523) and next prime (204963553).

It can be written as a sum of positive squares in 6 ways, for example, as 17081689 + 187881849 = 4133^2 + 13707^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 204963538.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15648 + ... + 25588.

Almost surely, 2204963538 is an apocalyptic number.

204963538 is a deficient number, since it is larger than the sum of its proper divisors (133442258).

204963538 is a wasteful number, since it uses less digits than its factorization.

204963538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 204963538 is about 14316.5476983804. The cubic root of 204963538 is about 589.6018936495.

The spelling of 204963538 in words is "two hundred four million, nine hundred sixty-three thousand, five hundred thirty-eight".

Divisors: 1 2 13 26 61 122 169 338 793 1586 9941 10309 19882 20618 129233 258466 606401 1212802 1680029 3360058 7883213 15766426 102481769 204963538