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21716856 = 2333753271
BaseRepresentation
bin101001011010…
…1111101111000
31111212022221000
41102311331320
521024414411
62053245000
7352406310
oct122657570
944768830
1021716856
1111293217
127333760
134664a15
142c54440
151d8e956
hex14b5f78

21716856 has 128 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 6065280.

The previous prime is 21716831. The next prime is 21716857. The reversal of 21716856 is 65861712.

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 21716856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21716857) 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, 80001 + ... + 80271.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 221716856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21716856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

21716856 is an abundant number, since it is smaller than the sum of its proper divisors (48785544).

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

21716856 is a wasteful number, since it uses less digits than its factorization.

21716856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 21716856 is about 4660.1347619999. The cubic root of 21716856 is about 278.9966469709.

The spelling of 21716856 in words is "twenty-one million, seven hundred sixteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 271 318 371 378 424 477 504 542 636 742 756 813 954 1084 1113 1272 1431 1484 1512 1626 1897 1908 2168 2226 2439 2862 2968 3252 3339 3794 3816 4452 4878 5691 5724 6504 6678 7317 7588 8904 9756 10017 11382 11448 13356 14363 14634 15176 17073 19512 20034 22764 26712 28726 29268 34146 40068 43089 45528 51219 57452 58536 68292 80136 86178 100541 102438 114904 129267 136584 172356 201082 204876 258534 301623 344712 387801 402164 409752 517068 603246 775602 804328 904869 1034136 1206492 1551204 1809738 2412984 2714607 3102408 3619476 5429214 7238952 10858428 21716856