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21133890 = 23251719727
BaseRepresentation
bin101000010011…
…1101001000010
31110202201020200
41100213221002
520402241030
62032550030
7344430561
oct120475102
943681220
1021133890
1110a25228
1270b2316
1344bc57b
142b41bd8
151cc6d60
hex1427a42

21133890 has 96 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 5018112.

The previous prime is 21133867. The next prime is 21133897. The reversal of 21133890 is 9833112.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133897) 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, 28707 + ... + 29433.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 221133890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

21133890 is an abundant number, since it is smaller than the sum of its proper divisors (40192830).

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

21133890 is a wasteful number, since it uses less digits than its factorization.

21133890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21133890 is about 4597.1610804930. The cubic root of 21133890 is about 276.4775130035.

The spelling of 21133890 in words is "twenty-one million, one hundred thirty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 727 765 855 969 1454 1530 1615 1710 1938 2181 2907 3230 3635 4362 4845 5814 6543 7270 9690 10905 12359 13086 13813 14535 21810 24718 27626 29070 32715 37077 41439 61795 65430 69065 74154 82878 111231 123590 124317 138130 185385 207195 222462 234821 248634 370770 414390 469642 556155 621585 704463 1112310 1174105 1243170 1408926 2113389 2348210 3522315 4226778 7044630 10566945 21133890