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20114136 = 2333753251
BaseRepresentation
bin100110010111…
…0101011011000
31101211220102000
41030232223120
520122123021
61555041000
7332652540
oct114565330
941756360
1020114136
1110399059
1268a0160
134223373
142958320
151b74b26
hex132ead8

20114136 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 5616000.

The previous prime is 20114131. The next prime is 20114161. The reversal of 20114136 is 63141102.

It is a happy number.

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 (20114131) 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, 80011 + ... + 80261.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 220114136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

20114136 is an abundant number, since it is smaller than the sum of its proper divisors (45204264).

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

20114136 is a wasteful number, since it uses less digits than its factorization.

20114136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

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

The square root of 20114136 is about 4484.8785936745. The cubic root of 20114136 is about 271.9571371328.

Adding to 20114136 its reverse (63141102), we get a palindrome (83255238).

The spelling of 20114136 in words is "twenty million, one hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 251 252 318 371 378 424 477 502 504 636 742 753 756 954 1004 1113 1272 1431 1484 1506 1512 1757 1908 2008 2226 2259 2862 2968 3012 3339 3514 3816 4452 4518 5271 5724 6024 6678 6777 7028 8904 9036 10017 10542 11448 13303 13356 13554 14056 15813 18072 20034 21084 26606 26712 27108 31626 39909 40068 42168 47439 53212 54216 63252 79818 80136 93121 94878 106424 119727 126504 159636 186242 189756 239454 279363 319272 359181 372484 379512 478908 558726 718362 744968 838089 957816 1117452 1436724 1676178 2234904 2514267 2873448 3352356 5028534 6704712 10057068 20114136