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206571136 = 278918133
BaseRepresentation
bin11000101000000…
…00011010000000
3112101200220022211
430110000122000
5410340234021
632255311504
75055553132
oct1424003200
9471626284
10206571136
11a6670a52
125921b594
1333a48255
141d613052
15132063e1
hexc500680

206571136 has 32 divisors (see below), whose sum is σ = 416175300. Its totient is φ = 102119424.

The previous prime is 206571133. The next prime is 206571187. The reversal of 206571136 is 631175602.

It can be written as a sum of positive squares in 2 ways, for example, as 197571136 + 9000000 = 14056^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 206571098 and 206571107.

It is not an unprimeable number, because it can be changed into a prime (206571133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2326 + ... + 20458.

Almost surely, 2206571136 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 206571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208087650).

206571136 is an abundant number, since it is smaller than the sum of its proper divisors (209604164).

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

206571136 is an equidigital number, since it uses as much as digits as its factorization.

206571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18224 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 206571136 is about 14372.5827880726. The cubic root of 206571136 is about 591.1393630172.

The spelling of 206571136 in words is "two hundred six million, five hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 11392 18133 36266 72532 145064 290128 580256 1160512 1613837 2321024 3227674 6455348 12910696 25821392 51642784 103285568 206571136