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20183296 = 28721609
BaseRepresentation
bin100110011111…
…1100100000000
31101222102021111
41030333210000
520131331141
62000333104
7333361300
oct114774400
941872244
1020183296
1110436011
126914194
1342489a3
142975600
151b8a381
hex133f900

20183296 has 54 divisors (see below), whose sum is σ = 46894470. Its totient is φ = 8644608.

The previous prime is 20183287. The next prime is 20183309. The reversal of 20183296 is 69238102.

It can be written as a sum of positive squares in only one way, i.e., 20070400 + 112896 = 4480^2 + 336^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11740 + ... + 13348.

Almost surely, 220183296 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 20183296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23447235).

20183296 is an abundant number, since it is smaller than the sum of its proper divisors (26711174).

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

20183296 is an equidigital number, since it uses as much as digits as its factorization.

20183296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 20183296 is about 4492.5823309095. The cubic root of 20183296 is about 272.2684777030.

The spelling of 20183296 in words is "twenty million, one hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1609 1792 3136 3218 6272 6436 11263 12544 12872 22526 25744 45052 51488 78841 90104 102976 157682 180208 205952 315364 360416 411904 630728 720832 1261456 1441664 2522912 2883328 5045824 10091648 20183296