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20203680 = 253572859
BaseRepresentation
bin100110100010…
…0100010100000
31102000110020110
41031010202200
520133004210
62001011320
7333504600
oct115044240
942013213
1020203680
111044a362
126923b40
134255053
14297cc00
151b91420
hex13448a0

20203680 has 144 divisors (see below), whose sum is σ = 74118240. Its totient is φ = 4612608.

The previous prime is 20203657. The next prime is 20203709. The reversal of 20203680 is 8630202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23091 + ... + 23949.

It is an arithmetic number, because the mean of its divisors is an integer number (514710).

Almost surely, 220203680 is an apocalyptic number.

20203680 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 20203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37059120).

20203680 is an abundant number, since it is smaller than the sum of its proper divisors (53914560).

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

20203680 is a wasteful number, since it uses less digits than its factorization.

20203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20203680 is about 4494.8503868316. The cubic root of 20203680 is about 272.3601055080.

Adding to 20203680 its reverse (8630202), we get a palindrome (28833882).

The spelling of 20203680 in words is "twenty million, two hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 859 980 1120 1176 1470 1568 1680 1718 1960 2352 2577 2940 3360 3436 3920 4295 4704 5154 5880 6013 6872 7840 8590 10308 11760 12026 12885 13744 17180 18039 20616 23520 24052 25770 27488 30065 34360 36078 41232 42091 48104 51540 60130 68720 72156 82464 84182 90195 96208 103080 120260 126273 137440 144312 168364 180390 192416 206160 210455 240520 252546 288624 336728 360780 412320 420910 481040 505092 577248 631365 673456 721560 841820 962080 1010184 1262730 1346912 1443120 1683640 2020368 2525460 2886240 3367280 4040736 5050920 6734560 10101840 20203680