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20051328 = 2731147101
BaseRepresentation
bin100110001111…
…1010110000000
31101201201020210
41030133112000
520113120303
61553434120
7332301453
oct114372600
941651223
1020051328
1110355950
12686b940
1342008bb
14293d49a
151b61203
hex131f580

20051328 has 128 divisors (see below), whose sum is σ = 59927040. Its totient is φ = 5888000.

The previous prime is 20051309. The next prime is 20051329. The reversal of 20051328 is 82315002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20051329) 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 15 ways as a sum of consecutive naturals, for example, 198478 + ... + 198578.

It is an arithmetic number, because the mean of its divisors is an integer number (468180).

Almost surely, 220051328 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 20051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963520).

20051328 is an abundant number, since it is smaller than the sum of its proper divisors (39875712).

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

20051328 is a wasteful number, since it uses less digits than its factorization.

20051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20051328 is about 4477.8709226596. The cubic root of 20051328 is about 271.6737726739.

It can be divided in two parts, 2005 and 1328, that added together give a palindrome (3333).

The spelling of 20051328 in words is "twenty million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 101 128 132 141 176 188 192 202 264 282 303 352 376 384 404 517 528 564 606 704 752 808 1034 1056 1111 1128 1212 1408 1504 1551 1616 2068 2112 2222 2256 2424 3008 3102 3232 3333 4136 4224 4444 4512 4747 4848 6016 6204 6464 6666 8272 8888 9024 9494 9696 12408 12928 13332 14241 16544 17776 18048 18988 19392 24816 26664 28482 33088 35552 37976 38784 49632 52217 53328 56964 66176 71104 75952 99264 104434 106656 113928 142208 151904 156651 198528 208868 213312 227856 303808 313302 417736 426624 455712 607616 626604 835472 911424 1253208 1670944 1822848 2506416 3341888 5012832 6683776 10025664 20051328