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206681140 = 22589116113
BaseRepresentation
bin11000101000110…
…11010000110100
3112101220111020001
430110123100310
5410402244030
632301521044
75056521631
oct1424332064
9471814201
10206681140
11a6736666
1259273184
1333a86343
141d641188
1513228cca
hexc51b434

206681140 has 24 divisors (see below), whose sum is σ = 438910920. Its totient is φ = 81742848.

The previous prime is 206681129. The next prime is 206681141. The reversal of 206681140 is 41186602.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 202948516 = 1932^2 + 14246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206681099 and 206681108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206681141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56277 + ... + 59836.

It is an arithmetic number, because the mean of its divisors is an integer number (18287955).

Almost surely, 2206681140 is an apocalyptic number.

206681140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206681140 is an abundant number, since it is smaller than the sum of its proper divisors (232229780).

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

206681140 is a wasteful number, since it uses less digits than its factorization.

206681140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116211 (or 116209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 206681140 is about 14376.4091483235. The cubic root of 206681140 is about 591.2442762789.

The spelling of 206681140 in words is "two hundred six million, six hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 116113 232226 464452 580565 1161130 2322260 10334057 20668114 41336228 51670285 103340570 206681140