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21052680 = 23351141389
BaseRepresentation
bin101000001001…
…1110100001000
31110121120211220
41100103310020
520342141210
62031122040
7343642035
oct120236410
943546756
1021052680
111097a210
127073320
13449160c
142b2038c
151cacc70
hex1413d08

21052680 has 128 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 4966400.

The previous prime is 21052679. The next prime is 21052687. The reversal of 21052680 is 8625012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21052680.

It is not an unprimeable number, because it can be changed into a prime (21052687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53926 + ... + 54314.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 221052680 is an apocalyptic number.

21052680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21052680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

21052680 is an abundant number, since it is smaller than the sum of its proper divisors (49708920).

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

21052680 is a wasteful number, since it uses less digits than its factorization.

21052680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 21052680 is about 4588.3199539701. The cubic root of 21052680 is about 276.1229236106.

Adding to 21052680 its reverse (8625012), we get a palindrome (29677692).

The spelling of 21052680 in words is "twenty-one million, fifty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 389 410 440 451 492 615 660 778 820 902 984 1167 1230 1320 1353 1556 1640 1804 1945 2255 2334 2460 2706 3112 3608 3890 4279 4510 4668 4920 5412 5835 6765 7780 8558 9020 9336 10824 11670 12837 13530 15560 15949 17116 18040 21395 23340 25674 27060 31898 34232 42790 46680 47847 51348 54120 63796 64185 79745 85580 95694 102696 127592 128370 159490 171160 175439 191388 239235 256740 318980 350878 382776 478470 513480 526317 637960 701756 877195 956940 1052634 1403512 1754390 1913880 2105268 2631585 3508780 4210536 5263170 7017560 10526340 21052680