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206141130 = 232513213553
BaseRepresentation
bin11000100100101…
…11011011001010
3112100220001110200
430102113123022
5410233004010
632242153030
75052112356
oct1422273312
9470801420
10206141130
11a63a7978
1259052776
1333927600
141d540466
151316dcc0
hexc4976ca

206141130 has 72 divisors (see below), whose sum is σ = 580409388. Its totient is φ = 50738688.

The previous prime is 206141129. The next prime is 206141137. The reversal of 206141130 is 31141602.

It is a happy number.

206141130 is a `hidden beast` number, since 20 + 614 + 1 + 1 + 30 = 666.

206141130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42889401 + 163251729 = 6549^2 + 12777^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (206141137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8434 + ... + 21986.

Almost surely, 2206141130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206141130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290204694).

206141130 is an abundant number, since it is smaller than the sum of its proper divisors (374268258).

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

206141130 is a wasteful number, since it uses less digits than its factorization.

206141130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13592 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 206141130 is about 14357.6157491416. The cubic root of 206141130 is about 590.7288989972.

Adding to 206141130 its reverse (31141602), we get a palindrome (237282732).

The spelling of 206141130 in words is "two hundred six million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 13553 15210 27106 40659 67765 81318 121977 135530 176189 203295 243954 352378 406590 528567 609885 880945 1057134 1219770 1585701 1761890 2290457 2642835 3171402 4580914 5285670 6871371 7928505 11452285 13742742 15857010 20614113 22904570 34356855 41228226 68713710 103070565 206141130