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20334132 = 22337132069
BaseRepresentation
bin100110110010…
…0011000110100
31102021002012000
41031210120310
520201143012
62003455300
7334560120
oct115443064
942232160
1020334132
1110529375
126987530
13429c540
1429b4580
151bb9ddc
hex1364634

20334132 has 96 divisors (see below), whose sum is σ = 64915200. Its totient is φ = 5360256.

The previous prime is 20334121. The next prime is 20334137. The reversal of 20334132 is 23143302.

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 (20334137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8794 + ... + 10862.

It is an arithmetic number, because the mean of its divisors is an integer number (676200).

Almost surely, 220334132 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 20334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32457600).

20334132 is an abundant number, since it is smaller than the sum of its proper divisors (44581068).

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

20334132 is a wasteful number, since it uses less digits than its factorization.

20334132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20334132 is about 4509.3383106616. The cubic root of 20334132 is about 272.9450438829.

Adding to 20334132 its reverse (23143302), we get a palindrome (43477434).

The spelling of 20334132 in words is "twenty million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2069 2457 3276 4138 4914 6207 8276 9828 12414 14483 18621 24828 26897 28966 37242 43449 53794 55863 57932 74484 80691 86898 107588 111726 130347 161382 173796 188279 223452 242073 260694 322764 376558 391041 484146 521388 564837 726219 753116 782082 968292 1129674 1452438 1564164 1694511 2259348 2904876 3389022 5083533 6778044 10167066 20334132