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21687930 = 232511191153
BaseRepresentation
bin101001010111…
…0111001111010
31111210212020200
41102232321322
521023003210
62052503030
7352226055
oct122567172
944725220
1021687930
1111273510
12731aa76
1346547c4
142c47a9c
151d860c0
hex14aee7a

21687930 has 96 divisors (see below), whose sum is σ = 64808640. Its totient is φ = 4976640.

The previous prime is 21687923. The next prime is 21687931. The reversal of 21687930 is 3978612.

It is not an unprimeable number, because it can be changed into a prime (21687931) 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, 18234 + ... + 19386.

It is an arithmetic number, because the mean of its divisors is an integer number (675090).

Almost surely, 221687930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21687930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32404320).

21687930 is an abundant number, since it is smaller than the sum of its proper divisors (43120710).

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

21687930 is a wasteful number, since it uses less digits than its factorization.

21687930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21687930 is about 4657.0301695394. The cubic root of 21687930 is about 278.8727210713.

The spelling of 21687930 in words is "twenty-one million, six hundred eighty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1153 1254 1710 1881 2090 2306 3135 3459 3762 5765 6270 6918 9405 10377 11530 12683 17295 18810 20754 21907 25366 34590 38049 43814 51885 63415 65721 76098 103770 109535 114147 126830 131442 190245 197163 219070 228294 240977 328605 380490 394326 481954 570735 657210 722931 985815 1141470 1204885 1445862 1971630 2168793 2409770 3614655 4337586 7229310 10843965 21687930