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21022680 = 2335729863
BaseRepresentation
bin101000000110…
…0011111011000
31110120001200210
41100030133120
520340211210
62030331120
7343455420
oct120143730
943501623
1021022680
1110959718
127059aa0
134480a73
142b13480
151ca3e20
hex140c7d8

21022680 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 4634112.

The previous prime is 21022669. The next prime is 21022699. The reversal of 21022680 is 8622012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23929 + ... + 24791.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 221022680 is an apocalyptic number.

21022680 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 21022680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

21022680 is an abundant number, since it is smaller than the sum of its proper divisors (53626920).

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

21022680 is a wasteful number, since it uses less digits than its factorization.

21022680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21022680 is about 4585.0496180521. The cubic root of 21022680 is about 275.9917031742.

Adding to 21022680 its reverse (8622012), we get a palindrome (29644692).

The spelling of 21022680 in words is "twenty-one million, twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 863 870 1015 1160 1218 1624 1726 1740 2030 2436 2589 3045 3452 3480 4060 4315 4872 5178 6041 6090 6904 8120 8630 10356 12082 12180 12945 17260 18123 20712 24164 24360 25027 25890 30205 34520 36246 48328 50054 51780 60410 72492 75081 90615 100108 103560 120820 125135 144984 150162 175189 181230 200216 241640 250270 300324 350378 362460 375405 500540 525567 600648 700756 724920 750810 875945 1001080 1051134 1401512 1501620 1751890 2102268 2627835 3003240 3503780 4204536 5255670 7007560 10511340 21022680