Search a number
-
+
21130065 = 365111731
BaseRepresentation
bin101000010011…
…0101101010001
31110202112000000
41100212231101
520402130230
62032520213
7344413455
oct120465521
943675000
1021130065
1110a22370
1270b0069
1344ba8c8
142b40665
151cc5b60
hex1426b51

21130065 has 112 divisors (see below), whose sum is σ = 45328896. Its totient is φ = 9331200.

The previous prime is 21130049. The next prime is 21130073. The reversal of 21130065 is 56003112.

It is not a de Polignac number, because 21130065 - 24 = 21130049 is a prime.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 681600 + ... + 681630.

Almost surely, 221130065 is an apocalyptic number.

It is an amenable number.

21130065 is an abundant number, since it is smaller than the sum of its proper divisors (24198831).

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

21130065 is a wasteful number, since it uses less digits than its factorization.

21130065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 21130065 is about 4596.7450440502. The cubic root of 21130065 is about 276.4608322080.

Adding to 21130065 its reverse (56003112), we get a palindrome (77133177).

It can be divided in two parts, 211 and 30065, that added together give a square (30276 = 1742).

The spelling of 21130065 in words is "twenty-one million, one hundred thirty thousand, sixty-five".

Divisors: 1 3 5 9 11 15 17 27 31 33 45 51 55 81 85 93 99 135 153 155 165 187 243 255 279 297 341 405 459 465 495 527 561 729 765 837 891 935 1023 1215 1377 1395 1485 1581 1683 1705 2295 2511 2635 2673 2805 3069 3645 4131 4185 4455 4743 5049 5115 5797 6885 7533 7905 8019 8415 9207 12393 12555 13365 14229 15147 15345 17391 20655 22599 23715 25245 27621 28985 37665 40095 42687 45441 46035 52173 61965 71145 75735 82863 86955 112995 128061 136323 138105 156519 213435 227205 248589 260865 384183 414315 469557 640305 681615 782595 1242945 1408671 1920915 2347785 4226013 7043355 21130065