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206681657 = 72132314107
BaseRepresentation
bin11000101000110…
…11011000111001
3112101220111221012
430110123120321
5410402303112
632301523305
75056523300
oct1424333071
9471814835
10206681657
11a6736a96
1259273535
1333a86650
141d641437
1513229022
hexc51b639

206681657 has 24 divisors (see below), whose sum is σ = 270196416. Its totient is φ = 156407328.

The previous prime is 206681647. The next prime is 206681663. The reversal of 206681657 is 756186602.

206681657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 206681657 - 210 = 206680633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (206681647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7598 + ... + 21704.

It is an arithmetic number, because the mean of its divisors is an integer number (11258184).

Almost surely, 2206681657 is an apocalyptic number.

It is an amenable number.

206681657 is a deficient number, since it is larger than the sum of its proper divisors (63514759).

206681657 is a wasteful number, since it uses less digits than its factorization.

206681657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14157 (or 14150 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 206681657 is about 14376.4271291583. The cubic root of 206681657 is about 591.2447692654.

The spelling of 206681657 in words is "two hundred six million, six hundred eighty-one thousand, six hundred fifty-seven".

Divisors: 1 7 13 23 49 91 161 299 637 1127 2093 14107 14651 98749 183391 324461 691243 1283737 2271227 4217993 8986159 15898589 29525951 206681657