Search a number
-
+
20041182 = 235743137
BaseRepresentation
bin100110001110…
…0110111011110
31101201012100000
41030130313132
520112304212
61553315130
7332230050
oct114346736
941635300
1020041182
1110349267
126865aa6
1341c90b5
1429398d0
151b5d1dc
hex131cdde

20041182 has 96 divisors (see below), whose sum is σ = 53044992. Its totient is φ = 5552064.

The previous prime is 20041121. The next prime is 20041183. The reversal of 20041182 is 28114002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20041183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146218 + ... + 146354.

It is an arithmetic number, because the mean of its divisors is an integer number (552552).

Almost surely, 220041182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20041182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26522496).

20041182 is an abundant number, since it is smaller than the sum of its proper divisors (33003810).

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

20041182 is a wasteful number, since it uses less digits than its factorization.

20041182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20041182 is about 4476.7378748370. The cubic root of 20041182 is about 271.6279425067.

Adding to 20041182 its reverse (28114002), we get a palindrome (48155184).

The spelling of 20041182 in words is "twenty million, forty-one thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 137 162 189 243 258 274 301 378 387 411 486 567 602 774 822 903 959 1134 1161 1233 1701 1806 1918 2322 2466 2709 2877 3402 3483 3699 5418 5754 5891 6966 7398 8127 8631 10449 11097 11782 16254 17262 17673 20898 22194 24381 25893 33291 35346 41237 48762 51786 53019 66582 73143 77679 82474 106038 123711 146286 155358 159057 233037 247422 318114 371133 466074 477171 742266 954342 1113399 1431513 2226798 2863026 3340197 6680394 10020591 20041182