Search a number
-
+
205638096 = 24313731271
BaseRepresentation
bin11000100000111…
…00100111010000
3112022221111102210
430100130213100
5410120404341
632223312120
75044615656
oct1420344720
9468844383
10205638096
11a6093a44
1258a4b640
13337ac661
141d44cdd6
15130bec16
hexc41c9d0

205638096 has 40 divisors (see below), whose sum is σ = 535126464. Its totient is φ = 68043520.

The previous prime is 205638071. The next prime is 205638131. The reversal of 205638096 is 690836502.

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 7 ways as a sum of consecutive naturals, for example, 9060 + ... + 22211.

Almost surely, 2205638096 is an apocalyptic number.

It is an amenable number.

205638096 is an abundant number, since it is smaller than the sum of its proper divisors (329488368).

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

205638096 is a wasteful number, since it uses less digits than its factorization.

205638096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31419 (or 31413 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 205638096 is about 14340.0870290246. The cubic root of 205638096 is about 590.2480006914.

The spelling of 205638096 in words is "two hundred five million, six hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 31271 62542 93813 125084 187626 250168 375252 500336 750504 1501008 4284127 8568254 12852381 17136508 25704762 34273016 51409524 68546032 102819048 205638096