Search a number
-
+
21306285 = 32571121343
BaseRepresentation
bin101000101000…
…1101110101101
31111002110201200
41101101232231
520423300120
62040400113
7346046310
oct121215655
944073650
1021306285
1111032800
127176039
13454cb90
142b88977
151d0ce90
hex1451bad

21306285 has 144 divisors (see below), whose sum is σ = 51123072. Its totient is φ = 7983360.

The previous prime is 21306283. The next prime is 21306289. The reversal of 21306285 is 58260312.

21306285 is a `hidden beast` number, since 2 + 1 + 30 + 628 + 5 = 666.

It is not a de Polignac number, because 21306285 - 21 = 21306283 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21306281) 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 143 ways as a sum of consecutive naturals, for example, 495474 + ... + 495516.

Almost surely, 221306285 is an apocalyptic number.

It is an amenable number.

21306285 is an abundant number, since it is smaller than the sum of its proper divisors (29816787).

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

21306285 is a wasteful number, since it uses less digits than its factorization.

21306285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 21306285 is about 4615.8731568361. The cubic root of 21306285 is about 277.2272459992.

Adding to 21306285 its reverse (58260312), we get a palindrome (79566597).

The spelling of 21306285 in words is "twenty-one million, three hundred six thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 43 45 55 63 65 77 91 99 105 117 121 129 143 165 195 215 231 273 301 315 363 385 387 429 455 473 495 559 585 605 645 693 715 819 847 903 1001 1089 1155 1287 1365 1419 1505 1573 1677 1815 1935 2145 2365 2541 2709 2795 3003 3311 3465 3913 4095 4235 4257 4515 4719 5005 5031 5203 5445 6149 6435 7095 7623 7865 8385 9009 9933 11011 11739 12705 13545 14157 15015 15609 16555 18447 19565 21285 23595 25155 26015 29799 30745 33033 35217 36421 38115 43043 45045 46827 49665 55055 55341 58695 67639 70785 78045 92235 99099 109263 129129 148995 165165 176085 182105 202917 215215 234135 276705 327789 338195 387387 473473 495495 546315 608751 645645 1014585 1420419 1638945 1936935 2367365 3043755 4261257 7102095 21306285