Search a number
-
+
205104300 = 22352683681
BaseRepresentation
bin11000011100110…
…10010010101100
3112021221101012120
430032122102230
5410001314200
632204032540
75040233502
oct1416322254
9467841176
10205104300
11a5859995
1258832750
13336536bb
141d350672
15130169a0
hexc39a4ac

205104300 has 36 divisors (see below), whose sum is σ = 593435976. Its totient is φ = 54694400.

The previous prime is 205104299. The next prime is 205104331. The reversal of 205104300 is 3401502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 205104300.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 341541 + ... + 342140.

Almost surely, 2205104300 is an apocalyptic number.

205104300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205104300 is an abundant number, since it is smaller than the sum of its proper divisors (388331676).

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

205104300 is a wasteful number, since it uses less digits than its factorization.

205104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683698 (or 683691 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205104300 is about 14321.4629141020. The cubic root of 205104300 is about 589.7368356181.

Adding to 205104300 its reverse (3401502), we get a palindrome (208505802).

The spelling of 205104300 in words is "two hundred five million, one hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 683681 1367362 2051043 2734724 3418405 4102086 6836810 8204172 10255215 13673620 17092025 20510430 34184050 41020860 51276075 68368100 102552150 205104300