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20741328 = 2432144037
BaseRepresentation
bin100111100011…
…1110011010000
31110000202202100
41033013303100
520302210303
62020320400
7341204226
oct117076320
943022670
1020741328
11107872a3
126b43100
1343b299a
142a7cb16
151c4a8a3
hex13c7cd0

20741328 has 30 divisors (see below), whose sum is σ = 58047314. Its totient is φ = 6913728.

The previous prime is 20741323. The next prime is 20741341. The reversal of 20741328 is 82314702.

It can be written as a sum of positive squares in only one way, i.e., 12027024 + 8714304 = 3468^2 + 2952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20741321) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 71875 + ... + 72162.

Almost surely, 220741328 is an apocalyptic number.

It is an amenable number.

20741328 is an abundant number, since it is smaller than the sum of its proper divisors (37305986).

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

20741328 is a wasteful number, since it uses less digits than its factorization.

20741328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144051 (or 144042 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20741328 is about 4554.2648144349. The cubic root of 20741328 is about 274.7549464350.

The spelling of 20741328 in words is "twenty million, seven hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 144037 288074 432111 576148 864222 1152296 1296333 1728444 2304592 2592666 3456888 5185332 6913776 10370664 20741328