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21006216 = 2334711421
BaseRepresentation
bin101000000100…
…0011110001000
31110112020010000
41100020132020
520334144331
62030123000
7343356420
oct120103610
943466100
1021006216
1110948310
127050460
13447641a
142b0b480
151c9e0e6
hex1408788

21006216 has 160 divisors (see below), whose sum is σ = 73529280. Its totient is φ = 5443200.

The previous prime is 21006163. The next prime is 21006217. The reversal of 21006216 is 61260012.

It is a happy number.

It is a super-2 number, since 2×210062162 = 882522221277312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21006217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49686 + ... + 50106.

It is an arithmetic number, because the mean of its divisors is an integer number (459558).

Almost surely, 221006216 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 21006216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36764640).

21006216 is an abundant number, since it is smaller than the sum of its proper divisors (52523064).

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

21006216 is a wasteful number, since it uses less digits than its factorization.

21006216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21006216 is about 4583.2538659778. The cubic root of 21006216 is about 275.9196363379.

Adding to 21006216 its reverse (61260012), we get a palindrome (82266228).

The spelling of 21006216 in words is "twenty-one million, six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 421 462 504 567 594 616 648 693 756 792 842 891 924 1134 1188 1263 1386 1512 1684 1782 1848 2079 2268 2376 2526 2772 2947 3368 3564 3789 4158 4536 4631 5052 5544 5894 6237 7128 7578 8316 8841 9262 10104 11367 11788 12474 13893 15156 16632 17682 18524 22734 23576 24948 26523 27786 30312 32417 34101 35364 37048 41679 45468 49896 53046 55572 64834 68202 70728 79569 83358 90936 97251 106092 111144 125037 129668 136404 159138 166716 194502 212184 238707 250074 259336 272808 291753 318276 333432 375111 389004 477414 500148 583506 636552 750222 778008 875259 954828 1000296 1167012 1500444 1750518 1909656 2334024 2625777 3000888 3501036 5251554 7002072 10503108 21006216