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20307168 = 2532721439
BaseRepresentation
bin100110101110…
…1110011100000
31102012201012100
41031131303200
520144312133
62003130400
7334415400
oct115356340
942181170
1020307168
1110510092
126973a00
13429019b
1429a8800
151bb1e13
hex135dce0

20307168 has 108 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 5798016.

The previous prime is 20307121. The next prime is 20307179. The reversal of 20307168 is 86170302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13393 + ... + 14831.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 220307168 is an apocalyptic number.

20307168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20307168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

20307168 is an abundant number, since it is smaller than the sum of its proper divisors (46916352).

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

20307168 is a wasteful number, since it uses less digits than its factorization.

20307168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20307168 is about 4506.3475232166. The cubic root of 20307168 is about 272.8243445966.

The spelling of 20307168 in words is "twenty million, three hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1439 1568 1764 2016 2352 2878 3528 4317 4704 5756 7056 8634 10073 11512 12951 14112 17268 20146 23024 25902 30219 34536 40292 46048 51804 60438 69072 70511 80584 90657 103608 120876 138144 141022 161168 181314 207216 211533 241752 282044 322336 362628 414432 423066 483504 564088 634599 725256 846132 967008 1128176 1269198 1450512 1692264 2256352 2538396 2901024 3384528 5076792 6769056 10153584 20307168