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20303920 = 2457132789
BaseRepresentation
bin100110101110…
…1000000110000
31102012112202001
41031131000300
520144211140
62003103344
7334403050
oct115350060
942175661
1020303920
11105086aa
126971b54
13428b870
1429a7560
151bb0e9a
hex135d030

20303920 has 80 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 6423552.

The previous prime is 20303909. The next prime is 20303923. The reversal of 20303920 is 2930302.

20303920 = 7812 + 7822 + ... + 8122.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20303923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5886 + ... + 8674.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 220303920 is an apocalyptic number.

20303920 is a gapful number since it is divisible by the number (20) 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 20303920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

20303920 is an abundant number, since it is smaller than the sum of its proper divisors (37817360).

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

20303920 is a wasteful number, since it uses less digits than its factorization.

20303920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 20303920 is about 4505.9871282550. The cubic root of 20303920 is about 272.8097983254.

The spelling of 20303920 in words is "twenty million, three hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 2789 3640 5578 7280 11156 13945 19523 22312 27890 36257 39046 44624 55780 72514 78092 97615 111560 145028 156184 181285 195230 223120 253799 290056 312368 362570 390460 507598 580112 725140 780920 1015196 1268995 1450280 1561840 2030392 2537990 2900560 4060784 5075980 10151960 20303920