Search a number
-
+
204041106 = 23417431723
BaseRepresentation
bin11000010100101…
…10101110010010
3112012221100210000
430022112232102
5404213303411
632125150430
75025215013
oct1412265622
9465840700
10204041106
11a51a3115
12583bb416
13333707a9
141d15500a
1512da6956
hexc296b92

204041106 has 80 divisors (see below), whose sum is σ = 495643104. Its totient is φ = 62487936.

The previous prime is 204041083. The next prime is 204041107. The reversal of 204041106 is 601140402.

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 (204041107) 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 39 ways as a sum of consecutive naturals, for example, 117561 + ... + 119283.

Almost surely, 2204041106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204041106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247821552).

204041106 is an abundant number, since it is smaller than the sum of its proper divisors (291601998).

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

204041106 is a wasteful number, since it uses less digits than its factorization.

204041106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 204041106 is about 14284.2957824318. The cubic root of 204041106 is about 588.7160684733.

Adding to 204041106 its reverse (601140402), we get a palindrome (805181508).

The spelling of 204041106 in words is "two hundred four million, forty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 81 86 102 129 153 162 258 306 387 459 731 774 918 1161 1377 1462 1723 2193 2322 2754 3446 3483 4386 5169 6579 6966 10338 13158 15507 19737 29291 31014 39474 46521 58582 59211 74089 87873 93042 118422 139563 148178 175746 222267 263619 279126 444534 527238 666801 790857 1259513 1333602 1581714 2000403 2372571 2519026 3778539 4000806 4745142 6001209 7557078 11335617 12002418 22671234 34006851 68013702 102020553 204041106