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21685860 = 2233575737
BaseRepresentation
bin101001010111…
…0011001100100
31111210202102000
41102232121210
521022421420
62052445300
7352220040
oct122563144
944722360
1021685860
11112719a9
127319830
134653891
142c47020
151d85690
hex14ae664

21685860 has 96 divisors (see below), whose sum is σ = 77118720. Its totient is φ = 4955904.

The previous prime is 21685837. The next prime is 21685861. The reversal of 21685860 is 6858612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21685861) 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, 912 + ... + 6648.

It is an arithmetic number, because the mean of its divisors is an integer number (803320).

Almost surely, 221685860 is an apocalyptic number.

21685860 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 21685860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38559360).

21685860 is an abundant number, since it is smaller than the sum of its proper divisors (55432860).

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

21685860 is a wasteful number, since it uses less digits than its factorization.

21685860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 21685860 is about 4656.8079195947. The cubic root of 21685860 is about 278.8638484726.

The spelling of 21685860 in words is "twenty-one million, six hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5737 11474 17211 22948 28685 34422 40159 51633 57370 68844 80318 86055 103266 114740 120477 154899 160636 172110 200795 206532 240954 258165 309798 344220 361431 401590 481908 516330 602385 619596 722862 774495 803180 1032660 1084293 1204770 1445724 1548990 1807155 2168586 2409540 3097980 3614310 4337172 5421465 7228620 10842930 21685860