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21130668 = 223213163277
BaseRepresentation
bin101000010011…
…0110110101100
31110202112211100
41100212312230
520402140133
62032523100
7344415306
oct120466654
943675740
1021130668
1110a22869
1270b0490
1344bac70
142b40976
151cc5e13
hex1426dac

21130668 has 72 divisors (see below), whose sum is σ = 58084208. Its totient is φ = 6438528.

The previous prime is 21130667. The next prime is 21130699. The reversal of 21130668 is 86603112.

It is not an unprimeable number, because it can be changed into a prime (21130667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76146 + ... + 76422.

Almost surely, 221130668 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 21130668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29042104).

21130668 is an abundant number, since it is smaller than the sum of its proper divisors (36953540).

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

21130668 is a wasteful number, since it uses less digits than its factorization.

21130668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21130668 is about 4596.8106334719. The cubic root of 21130668 is about 276.4634620200.

The spelling of 21130668 in words is "twenty-one million, one hundred thirty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 163 234 277 326 468 489 554 652 831 978 1108 1467 1662 1956 2119 2493 2934 3324 3601 4238 4986 5868 6357 7202 8476 9972 10803 12714 14404 19071 21606 25428 32409 38142 43212 45151 64818 76284 90302 129636 135453 180604 270906 406359 541812 586963 812718 1173926 1625436 1760889 2347852 3521778 5282667 7043556 10565334 21130668