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20303568 = 2433431093
BaseRepresentation
bin100110101110…
…0111011010000
31102012112021000
41031130323100
520144203233
62003102000
7334402035
oct115347320
942175230
1020303568
111050840a
126971900
13428b65c
1429a738c
151bb0d13
hex135ced0

20303568 has 80 divisors (see below), whose sum is σ = 59688640. Its totient is φ = 6604416.

The previous prime is 20303551. The next prime is 20303573. The reversal of 20303568 is 86530302.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 18030 + ... + 19122.

It is an arithmetic number, because the mean of its divisors is an integer number (746108).

Almost surely, 220303568 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 20303568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29844320).

20303568 is an abundant number, since it is smaller than the sum of its proper divisors (39385072).

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

20303568 is a wasteful number, since it uses less digits than its factorization.

20303568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20303568 is about 4505.9480689418. The cubic root of 20303568 is about 272.8082217891.

The spelling of 20303568 in words is "twenty million, three hundred three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1093 1161 1548 2064 2186 2322 3096 3279 4372 4644 6192 6558 8744 9288 9837 13116 17488 18576 19674 26232 29511 39348 46999 52464 59022 78696 93998 118044 140997 157392 187996 236088 281994 375992 422991 472176 563988 751984 845982 1127976 1268973 1691964 2255952 2537946 3383928 5075892 6767856 10151784 20303568