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20832084 = 22327136359
BaseRepresentation
bin100111101110…
…1111101010100
31110012101020200
41033131331110
520313111314
62022300500
7342032640
oct117357524
943171220
1020832084
11108394a9
126b87730
1344150a0
142aa3c20
151c67709
hex13ddf54

20832084 has 72 divisors (see below), whose sum is σ = 64821120. Its totient is φ = 5493312.

The previous prime is 20832079. The next prime is 20832101. The reversal of 20832084 is 48023802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97 + ... + 6455.

Almost surely, 220832084 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 20832084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32410560).

20832084 is an abundant number, since it is smaller than the sum of its proper divisors (43989036).

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

20832084 is a wasteful number, since it uses less digits than its factorization.

20832084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6384 counting only the distinct ones).

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

The square root of 20832084 is about 4564.2177862149. The cubic root of 20832084 is about 275.1551036876.

Adding to 20832084 its reverse (48023802), we get a palindrome (68855886).

The spelling of 20832084 in words is "twenty million, eight hundred thirty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 6359 12718 19077 25436 38154 44513 57231 76308 82667 89026 114462 133539 165334 178052 228924 248001 267078 330668 400617 496002 534156 578669 744003 801234 992004 1157338 1488006 1602468 1736007 2314676 2976012 3472014 5208021 6944028 10416042 20832084