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20181330 = 23251347367
BaseRepresentation
bin100110011111…
…1000101010010
31101222022120200
41030333011102
520131300310
62000320030
7333352461
oct114770522
941868520
1020181330
1110434594
126913016
134247b20
1429749d8
151b899c0
hex133f152

20181330 has 96 divisors (see below), whose sum is σ = 57867264. Its totient is φ = 4848768.

The previous prime is 20181323. The next prime is 20181347. The reversal of 20181330 is 3318102.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54807 + ... + 55173.

It is an arithmetic number, because the mean of its divisors is an integer number (602784).

Almost surely, 220181330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20181330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28933632).

20181330 is an abundant number, since it is smaller than the sum of its proper divisors (37685934).

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

20181330 is a wasteful number, since it uses less digits than its factorization.

20181330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

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

The square root of 20181330 is about 4492.3635204645. The cubic root of 20181330 is about 272.2596371052.

Adding to 20181330 its reverse (3318102), we get a palindrome (23499432).

The spelling of 20181330 in words is "twenty million, one hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 195 234 235 282 367 390 423 470 585 611 705 734 846 1101 1170 1222 1410 1833 1835 2115 2202 3055 3303 3666 3670 4230 4771 5499 5505 6110 6606 9165 9542 10998 11010 14313 16515 17249 18330 23855 27495 28626 33030 34498 42939 47710 51747 54990 71565 85878 86245 103494 143130 155241 172490 214695 224237 258735 310482 429390 448474 517470 672711 776205 1121185 1345422 1552410 2018133 2242370 3363555 4036266 6727110 10090665 20181330