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20816208 = 24327107193
BaseRepresentation
bin100111101101…
…0000101010000
31110011120110200
41033122011100
520312104313
62022055200
7341635440
oct117320520
943146420
1020816208
1110828586
126b7a500
13440aaaa
142a9c120
151c62b73
hex13da150

20816208 has 120 divisors (see below), whose sum is σ = 67549248. Its totient is φ = 5861376.

The previous prime is 20816207. The next prime is 20816231. The reversal of 20816208 is 80261802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20816207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107760 + ... + 107952.

Almost surely, 220816208 is an apocalyptic number.

20816208 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 20816208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33774624).

20816208 is an abundant number, since it is smaller than the sum of its proper divisors (46733040).

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

20816208 is a wasteful number, since it uses less digits than its factorization.

20816208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20816208 is about 4562.4782739209. The cubic root of 20816208 is about 275.0851879333.

The spelling of 20816208 in words is "twenty million, eight hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 193 214 252 321 336 386 428 504 579 642 749 772 856 963 1008 1158 1284 1351 1498 1544 1712 1737 1926 2247 2316 2568 2702 2996 3088 3474 3852 4053 4494 4632 5136 5404 5992 6741 6948 7704 8106 8988 9264 10808 11984 12159 13482 13896 15408 16212 17976 20651 21616 24318 26964 27792 32424 35952 41302 48636 53928 61953 64848 82604 97272 107856 123906 144557 165208 185859 194544 247812 289114 330416 371718 433671 495624 578228 743436 867342 991248 1156456 1301013 1486872 1734684 2312912 2602026 2973744 3469368 5204052 6938736 10408104 20816208