Search a number
-
+
20330352 = 2437783
BaseRepresentation
bin100110110001…
…1011101110000
31102020220000000
41031203131300
520201032402
62003430000
7334543110
oct115433560
942226000
1020330352
1110526549
126985300
13429a8c3
1429b3040
151bb8c1c
hex1363770

20330352 has 160 divisors (see below), whose sum is σ = 68328960. Its totient is φ = 5738688.

The previous prime is 20330339. The next prime is 20330369. The reversal of 20330352 is 25303302.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 244903 + ... + 244985.

It is an arithmetic number, because the mean of its divisors is an integer number (427056).

Almost surely, 220330352 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 20330352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34164480).

20330352 is an abundant number, since it is smaller than the sum of its proper divisors (47998608).

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

20330352 is an frugal number, since it uses more digits than its factorization.

20330352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 20330352 is about 4508.9191609520. The cubic root of 20330352 is about 272.9281298554.

Adding to 20330352 its reverse (25303302), we get a palindrome (45633654).

The spelling of 20330352 in words is "twenty million, three hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 83 84 108 112 126 144 162 166 168 189 216 243 249 252 324 332 336 378 432 486 498 504 567 581 648 664 729 747 756 972 996 1008 1134 1162 1296 1328 1458 1494 1512 1701 1743 1944 1992 2187 2241 2268 2324 2916 2988 3024 3402 3486 3888 3984 4374 4482 4536 4648 5103 5229 5832 5976 6723 6804 6972 8748 8964 9072 9296 10206 10458 11664 11952 13446 13608 13944 15309 15687 17496 17928 20169 20412 20916 26892 27216 27888 30618 31374 34992 35856 40338 40824 41832 47061 53784 60507 61236 62748 80676 81648 83664 94122 107568 121014 122472 125496 141183 161352 181521 188244 242028 244944 250992 282366 322704 363042 376488 423549 484056 564732 726084 752976 847098 968112 1129464 1270647 1452168 1694196 2258928 2541294 2904336 3388392 5082588 6776784 10165176 20330352