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21131712 = 263371747
BaseRepresentation
bin101000010011…
…1000111000000
31110202121021000
41100213013000
520402203322
62032532000
7344421330
oct120470700
943677230
1021131712
1110a23628
1270b1000
1344bb594
142b410c0
151cc63ac
hex14271c0

21131712 has 112 divisors (see below), whose sum is σ = 71038720. Its totient is φ = 6034176.

The previous prime is 21131711. The next prime is 21131713. The reversal of 21131712 is 21713112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21131711) and next prime (21131713).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11223 + ... + 12969.

Almost surely, 221131712 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 21131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35519360).

21131712 is an abundant number, since it is smaller than the sum of its proper divisors (49907008).

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

21131712 is a wasteful number, since it uses less digits than its factorization.

21131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1759 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 21131712 is about 4596.9241890638. The cubic root of 21131712 is about 276.4680150090.

Adding to 21131712 its reverse (21713112), we get a palindrome (42844824).

The spelling of 21131712 in words is "twenty-one million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 1747 2016 3024 3494 4032 5241 6048 6988 10482 12096 12229 13976 15723 20964 24458 27952 31446 36687 41928 47169 48916 55904 62892 73374 83856 94338 97832 110061 111808 125784 146748 167712 188676 195664 220122 251568 293496 330183 335424 377352 391328 440244 503136 586992 660366 754704 782656 880488 1006272 1173984 1320732 1509408 1760976 2347968 2641464 3018816 3521952 5282928 7043904 10565856 21131712