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20741344 = 251373683
BaseRepresentation
bin100111100011…
…1110011100000
31110000202202221
41033013303200
520302210334
62020320424
7341204251
oct117076340
943022687
1020741344
1110787308
126b43114
1343b29b0
142a7cb28
151c4a8b4
hex13c7ce0

20741344 has 48 divisors (see below), whose sum is σ = 44643312. Its totient is φ = 9427968.

The previous prime is 20741341. The next prime is 20741363. The reversal of 20741344 is 44314702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20741341) 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 7 ways as a sum of consecutive naturals, for example, 30027 + ... + 30709.

It is an arithmetic number, because the mean of its divisors is an integer number (930069).

Almost surely, 220741344 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 20741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22321656).

20741344 is an abundant number, since it is smaller than the sum of its proper divisors (23901968).

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

20741344 is a wasteful number, since it uses less digits than its factorization.

20741344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 20741344 is about 4554.2665710299. The cubic root of 20741344 is about 274.7550170842.

The spelling of 20741344 in words is "twenty million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 683 949 1168 1366 1898 2336 2732 3796 5464 7592 8879 10928 15184 17758 21856 30368 35516 49859 71032 99718 142064 199436 284128 398872 648167 797744 1296334 1595488 2592668 5185336 10370672 20741344