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20289096 = 2333294179
BaseRepresentation
bin100110101100…
…1011001001000
31102011210102000
41031121121020
520143222341
62002511000
7334311612
oct115313110
942153360
1020289096
11104a8553
126965460
134284ba9
1429a1db2
151bab8b6
hex1359648

20289096 has 128 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 6289920.

The previous prime is 20289091. The next prime is 20289103. The reversal of 20289096 is 69098202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20289096.

It is not an unprimeable number, because it can be changed into a prime (20289091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256785 + ... + 256863.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 220289096 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 20289096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

20289096 is an abundant number, since it is smaller than the sum of its proper divisors (40190904).

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

20289096 is a wasteful number, since it uses less digits than its factorization.

20289096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20289096 is about 4504.3419053176. The cubic root of 20289096 is about 272.7433888658.

It can be divided in two parts, 202 and 89096, that added together give a palindrome (89298).

The spelling of 20289096 in words is "twenty million, two hundred eighty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 41 54 58 72 79 82 87 108 116 123 158 164 174 216 232 237 246 261 316 328 348 369 474 492 522 632 696 711 738 783 948 984 1044 1107 1189 1422 1476 1566 1896 2088 2133 2214 2291 2378 2844 2952 3132 3239 3567 4266 4428 4582 4756 5688 6264 6478 6873 7134 8532 8856 9164 9512 9717 10701 12956 13746 14268 17064 18328 19434 20619 21402 25912 27492 28536 29151 32103 38868 41238 42804 54984 58302 61857 64206 77736 82476 85608 87453 93931 116604 123714 128412 164952 174906 187862 233208 247428 256824 281793 349812 375724 494856 563586 699624 751448 845379 1127172 1690758 2254344 2536137 3381516 5072274 6763032 10144548 20289096