Search a number
-
+
206486496 = 2534294167
BaseRepresentation
bin11000100111010…
…11101111100000
3112101112121020000
430103223233200
5410330031441
632253420000
75055051306
oct1423535740
9471477200
10206486496
11a66133a7
125919a600
1333a18878
141d5d0276
15131db2b6
hexc4ebbe0

206486496 has 240 divisors, whose sum is σ = 653138640. Its totient is φ = 63866880.

The previous prime is 206486477. The next prime is 206486503. The reversal of 206486496 is 694684602.

206486496 is a `hidden beast` number, since 20 + 64 + 86 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3081855 + ... + 3081921.

It is an arithmetic number, because the mean of its divisors is an integer number (2721411).

Almost surely, 2206486496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206486496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326569320).

206486496 is an abundant number, since it is smaller than the sum of its proper divisors (446652144).

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

206486496 is a wasteful number, since it uses less digits than its factorization.

206486496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 206486496 is about 14369.6379912648. The cubic root of 206486496 is about 591.0586146096.

The spelling of 206486496 in words is "two hundred six million, four hundred eighty-six thousand, four hundred ninety-six".