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20684412 = 22327791039
BaseRepresentation
bin100111011100…
…1111001111100
31102220212200100
41032321321330
520243400122
62015201100
7340546260
oct116717174
942825610
1020684412
1110748561
126b16190
134392ac8
142a660a0
151c38aac
hex13b9e7c

20684412 has 72 divisors (see below), whose sum is σ = 60569600. Its totient is φ = 5829408.

The previous prime is 20684387. The next prime is 20684413. The reversal of 20684412 is 21448602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20684413) 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, 19389 + ... + 20427.

Almost surely, 220684412 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 20684412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30284800).

20684412 is an abundant number, since it is smaller than the sum of its proper divisors (39885188).

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

20684412 is a wasteful number, since it uses less digits than its factorization.

20684412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20684412 is about 4548.0118733354. The cubic root of 20684412 is about 274.5033990840.

The spelling of 20684412 in words is "twenty million, six hundred eighty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1039 1106 1422 1659 2078 2212 2844 3117 3318 4156 4977 6234 6636 7273 9351 9954 12468 14546 18702 19908 21819 29092 37404 43638 65457 82081 87276 130914 164162 246243 261828 328324 492486 574567 738729 984972 1149134 1477458 1723701 2298268 2954916 3447402 5171103 6894804 10342206 20684412