Search a number
-
+
206424141 = 37114719013
BaseRepresentation
bin11000100110111…
…00100001001101
3112101102102200120
430103130201031
5410321033031
632252215153
75054401440
oct1423344115
9471372616
10206424141
11a6580570
125916a4b9
13339c6381
141d5b5657
15131c7a96
hexc4dc84d

206424141 has 32 divisors (see below), whose sum is σ = 350466048. Its totient is φ = 104946240.

The previous prime is 206424109. The next prime is 206424143. The reversal of 206424141 is 141424602.

It is a happy number.

It is not a de Polignac number, because 206424141 - 25 = 206424109 is a prime.

It is a super-2 number, since 2×2064241412 = 85221851975175762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206424143) 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 31 ways as a sum of consecutive naturals, for example, 1351 + ... + 20363.

It is an arithmetic number, because the mean of its divisors is an integer number (10952064).

Almost surely, 2206424141 is an apocalyptic number.

206424141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

206424141 is a deficient number, since it is larger than the sum of its proper divisors (144041907).

206424141 is a wasteful number, since it uses less digits than its factorization.

206424141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19081.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 206424141 is about 14367.4681485640. The cubic root of 206424141 is about 590.9991124611. Note that the first 3 decimals are identical.

Adding to 206424141 its reverse (141424602), we get a palindrome (347848743).

The spelling of 206424141 in words is "two hundred six million, four hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 47 77 141 231 329 517 987 1551 3619 10857 19013 57039 133091 209143 399273 627429 893611 1464001 2680833 4392003 6255277 9829721 18765831 29489163 68808047 206424141