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21120330 = 23571141223
BaseRepresentation
bin101000010010…
…0010101001010
31110202000122110
41100210111022
520401322310
62032403150
7344343210
oct120442512
943660573
1021120330
1110a16020
1270a64b6
1344b634a
142b3acb0
151cc2d20
hex142454a

21120330 has 128 divisors (see below), whose sum is σ = 65028096. Its totient is φ = 4262400.

The previous prime is 21120317. The next prime is 21120349. The reversal of 21120330 is 3302112.

It is a happy number.

It is a super-3 number, since 3×211203303 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94599 + ... + 94821.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 221120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514048).

21120330 is an abundant number, since it is smaller than the sum of its proper divisors (43907766).

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

21120330 is a wasteful number, since it uses less digits than its factorization.

21120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21120330 is about 4595.6860206067. The cubic root of 21120330 is about 276.4183688645.

Adding to 21120330 its reverse (3302112), we get a palindrome (24422442).

It can be divided in two parts, 21120 and 330, that multiplied together give a square (6969600 = 26402).

The spelling of 21120330 in words is "twenty-one million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 41 42 55 66 70 77 82 105 110 123 154 165 205 210 223 231 246 287 330 385 410 446 451 462 574 615 669 770 861 902 1115 1155 1230 1338 1353 1435 1561 1722 2230 2255 2310 2453 2706 2870 3122 3157 3345 4305 4510 4683 4906 6314 6690 6765 7359 7805 8610 9143 9366 9471 12265 13530 14718 15610 15785 17171 18286 18942 23415 24530 27429 31570 34342 36795 45715 46830 47355 51513 54858 64001 73590 85855 91430 94710 100573 103026 128002 137145 171710 192003 201146 257565 274290 301719 320005 384006 502865 515130 603438 640010 704011 960015 1005730 1408022 1508595 1920030 2112033 3017190 3520055 4224066 7040110 10560165 21120330