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20681712 = 24323141113
BaseRepresentation
bin100111011100…
…1001111110000
31102220201222100
41032321033300
520243303322
62015140400
7340535352
oct116711760
942821870
1020681712
1110746527
126b14700
1343917cc
142a650d2
151c37dac
hex13b93f0

20681712 has 120 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 6451200.

The previous prime is 20681711. The next prime is 20681719. The reversal of 20681712 is 21718602.

It is a super-2 number, since 2×206817122 = 855466422501888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20681711) 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, 182968 + ... + 183080.

Almost surely, 220681712 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 20681712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

20681712 is an abundant number, since it is smaller than the sum of its proper divisors (41064336).

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

20681712 is a wasteful number, since it uses less digits than its factorization.

20681712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20681712 is about 4547.7150306500. The cubic root of 20681712 is about 274.4914546396.

It can be divided in two parts, 206 and 81712, that added together give a palindrome (81918).

The spelling of 20681712 in words is "twenty million, six hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 113 123 124 144 164 186 226 246 248 279 328 339 369 372 452 492 496 558 656 678 738 744 904 984 1017 1116 1271 1356 1476 1488 1808 1968 2034 2232 2542 2712 2952 3503 3813 4068 4464 4633 5084 5424 5904 7006 7626 8136 9266 10168 10509 11439 13899 14012 15252 16272 18532 20336 21018 22878 27798 28024 30504 31527 37064 41697 42036 45756 55596 56048 61008 63054 74128 83394 84072 91512 111192 126108 143623 166788 168144 183024 222384 252216 287246 333576 430869 504432 574492 667152 861738 1148984 1292607 1723476 2297968 2585214 3446952 5170428 6893904 10340856 20681712