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21730716 = 22327297127
BaseRepresentation
bin101001011100…
…1010110011100
31111220000221100
41102321112130
521030340331
62053433100
7352464600
oct122712634
944800840
1021730716
11112a2677
12733b790
13466b117
142c59500
151d93ae6
hex14b959c

21730716 has 108 divisors (see below), whose sum is σ = 65065728. Its totient is φ = 6096384.

The previous prime is 21730693. The next prime is 21730727. The reversal of 21730716 is 61703712.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 21730716.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171045 + ... + 171171.

Almost surely, 221730716 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 21730716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32532864).

21730716 is an abundant number, since it is smaller than the sum of its proper divisors (43335012).

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

21730716 is a wasteful number, since it uses less digits than its factorization.

21730716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 21730716 is about 4661.6216062654. The cubic root of 21730716 is about 279.0559875308.

The spelling of 21730716 in words is "twenty-one million, seven hundred thirty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 127 147 194 196 252 254 291 294 381 388 441 508 582 588 679 762 873 882 889 1143 1164 1358 1524 1746 1764 1778 2037 2286 2667 2716 3492 3556 4074 4572 4753 5334 6111 6223 8001 8148 9506 10668 12222 12319 12446 14259 16002 18669 19012 24444 24638 24892 28518 32004 36957 37338 42777 49276 56007 57036 73914 74676 85554 86233 110871 112014 147828 171108 172466 221742 224028 258699 344932 443484 517398 603631 776097 1034796 1207262 1552194 1810893 2414524 3104388 3621786 5432679 7243572 10865358 21730716