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20540142 = 234759307
BaseRepresentation
bin100111001011…
…0101011101110
31102122112210000
41032112223232
520224241032
62012125130
7336405540
oct116265356
942575700
1020540142
111065a127
126a667a6
13434223c
142a29690
151c0ae7c
hex1396aee

20540142 has 80 divisors (see below), whose sum is σ = 53665920. Its totient is φ = 5750352.

The previous prime is 20540141. The next prime is 20540161. The reversal of 20540142 is 24104502.

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 (20540141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66753 + ... + 67059.

It is an arithmetic number, because the mean of its divisors is an integer number (670824).

Almost surely, 220540142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20540142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26832960).

20540142 is an abundant number, since it is smaller than the sum of its proper divisors (33125778).

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

20540142 is a wasteful number, since it uses less digits than its factorization.

20540142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20540142 is about 4532.1233434230. The cubic root of 20540142 is about 273.8637058135.

Adding to 20540142 its reverse (24104502), we get a palindrome (44644644).

The spelling of 20540142 in words is "twenty million, five hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 118 126 162 177 189 307 354 378 413 531 567 614 826 921 1062 1134 1239 1593 1842 2149 2478 2763 3186 3717 4298 4779 5526 6447 7434 8289 9558 11151 12894 16578 18113 19341 22302 24867 33453 36226 38682 49734 54339 58023 66906 108678 116046 126791 163017 174069 253582 326034 348138 380373 489051 760746 978102 1141119 1467153 2282238 2934306 3423357 6846714 10270071 20540142