Search a number
-
+
204559940 = 225138872
BaseRepresentation
bin11000011000101…
…01011001000100
3112020220201111002
430030111121010
5404331404230
632144232432
75032505444
oct1414253104
9466821432
10204559940
11a5517a02
125860b718
13334c29b0
141d24c124
1512e5a545
hexc315644

204559940 has 36 divisors (see below), whose sum is σ = 463142316. Its totient is φ = 75444672.

The previous prime is 204559937. The next prime is 204559951. The reversal of 204559940 is 49955402.

204559940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50353216 + 154206724 = 7096^2 + 12418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204559894 and 204559903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230177 + ... + 231063.

Almost surely, 2204559940 is an apocalyptic number.

204559940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204559940 is an abundant number, since it is smaller than the sum of its proper divisors (258582376).

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

204559940 is an equidigital number, since it uses as much as digits as its factorization.

204559940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 204559940 is about 14302.4452454816. The cubic root of 204559940 is about 589.2146402050.

The spelling of 204559940 in words is "two hundred four million, five hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 887 1774 3548 4435 8870 11531 17740 23062 46124 57655 115310 230620 786769 1573538 3147076 3933845 7867690 10227997 15735380 20455994 40911988 51139985 102279970 204559940