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206142880 = 2551288393
BaseRepresentation
bin11000100100101…
…11110110100000
3112100220010212111
430102113312200
5410233033010
632242205104
75052120436
oct1422276640
9470803774
10206142880
11a63a9219
1259053794
1333928348
141d540d56
151316e58a
hexc497da0

206142880 has 24 divisors (see below), whose sum is σ = 487012932. Its totient is φ = 82457088.

The previous prime is 206142869. The next prime is 206142889. The reversal of 206142880 is 88241602.

It can be written as a sum of positive squares in 2 ways, for example, as 181818256 + 24324624 = 13484^2 + 4932^2 .

It is not an unprimeable number, because it can be changed into a prime (206142889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 644037 + ... + 644356.

Almost surely, 2206142880 is an apocalyptic number.

206142880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206142880 is an abundant number, since it is smaller than the sum of its proper divisors (280870052).

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

206142880 is a wasteful number, since it uses less digits than its factorization.

206142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288408 (or 1288400 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 206142880 is about 14357.6766922786. The cubic root of 206142880 is about 590.7305706233.

The spelling of 206142880 in words is "two hundred six million, one hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1288393 2576786 5153572 6441965 10307144 12883930 20614288 25767860 41228576 51535720 103071440 206142880