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20011728 = 24311151251
BaseRepresentation
bin100110001010…
…1101011010000
31101122200221010
41030111223100
520110333403
61552530520
7332045142
oct114255320
941580833
1020011728
1110329120
126850a40
1341b8879
14292cc92
151b54603
hex1315ad0

20011728 has 80 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 6000000.

The previous prime is 20011723. The next prime is 20011751. The reversal of 20011728 is 82711002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011723) 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, 79603 + ... + 79853.

Almost surely, 220011728 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 20011728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

20011728 is an abundant number, since it is smaller than the sum of its proper divisors (36984624).

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

20011728 is a wasteful number, since it uses less digits than its factorization.

20011728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 20011728 is about 4473.4469930916. The cubic root of 20011728 is about 271.4948091082.

The spelling of 20011728 in words is "twenty million, eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 176 251 264 302 453 502 528 604 753 906 1004 1208 1506 1661 1812 2008 2416 2761 3012 3322 3624 4016 4983 5522 6024 6644 7248 8283 9966 11044 12048 13288 16566 19932 22088 26576 33132 37901 39864 44176 66264 75802 79728 113703 132528 151604 227406 303208 416911 454812 606416 833822 909624 1250733 1667644 1819248 2501466 3335288 5002932 6670576 10005864 20011728