Search a number
-
+
206828136 = 233212722619
BaseRepresentation
bin11000101001111…
…11001001101000
3112102011221212100
430110333021220
5410422000021
632305013400
75061003324
oct1424771150
9472157770
10206828136
11a6827049
1259324260
1333b08218
141d67c984
1513257626
hexc53f268

206828136 has 48 divisors (see below), whose sum is σ = 564595200. Its totient is φ = 68396832.

The previous prime is 206828117. The next prime is 206828147. The reversal of 206828136 is 631828602.

206828136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 206828136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2166 + ... + 20453.

It is an arithmetic number, because the mean of its divisors is an integer number (11762400).

Almost surely, 2206828136 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 206828136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282297600).

206828136 is an abundant number, since it is smaller than the sum of its proper divisors (357767064).

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

206828136 is a wasteful number, since it uses less digits than its factorization.

206828136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22758 (or 22751 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 206828136 is about 14381.5206428249. The cubic root of 206828136 is about 591.3844115416.

The spelling of 206828136 in words is "two hundred six million, eight hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 22619 45238 67857 90476 135714 180952 203571 271428 407142 542856 814284 1628568 2872613 5745226 8617839 11490452 17235678 22980904 25853517 34471356 51707034 68942712 103414068 206828136