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21133860 = 22351124171
BaseRepresentation
bin101000010011…
…1101000100100
31110202201012120
41100213220210
520402240420
62032545540
7344430516
oct120475044
943681176
1021133860
1110a25200
1270b22b0
1344bc557
142b41bb6
151cc6d40
hex1427a24

21133860 has 144 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 4928000.

The previous prime is 21133841. The next prime is 21133867. The reversal of 21133860 is 6833112.

21133860 = T849 + T850 + ... + T903.

It is a self number, because there is not a number n which added to its sum of digits gives 21133860.

It is not an unprimeable number, because it can be changed into a prime (21133867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297625 + ... + 297695.

It is an arithmetic number, because the mean of its divisors is an integer number (469224).

Almost surely, 221133860 is an apocalyptic number.

21133860 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 21133860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

21133860 is an abundant number, since it is smaller than the sum of its proper divisors (46434396).

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

21133860 is a wasteful number, since it uses less digits than its factorization.

21133860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 21133860 is about 4597.1578176086. The cubic root of 21133860 is about 276.4773821815.

Adding to 21133860 its reverse (6833112), we get a palindrome (27966972).

The spelling of 21133860 in words is "twenty-one million, one hundred thirty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 71 82 110 121 123 132 142 164 165 205 213 220 242 246 284 330 355 363 410 426 451 484 492 605 615 660 710 726 781 820 852 902 1065 1210 1230 1353 1420 1452 1562 1804 1815 2130 2255 2343 2420 2460 2706 2911 3124 3630 3905 4260 4510 4686 4961 5412 5822 6765 7260 7810 8591 8733 9020 9372 9922 11644 11715 13530 14555 14883 15620 17182 17466 19844 23430 24805 25773 27060 29110 29766 32021 34364 34932 42955 43665 46860 49610 51546 58220 59532 64042 74415 85910 87330 96063 99220 103092 128084 128865 148830 160105 171820 174660 192126 257730 297660 320210 352231 384252 480315 515460 640420 704462 960630 1056693 1408924 1761155 1921260 2113386 3522310 4226772 5283465 7044620 10566930 21133860