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20144064 = 263104917
BaseRepresentation
bin100110011010…
…1111111000000
31101220102110110
41030311333000
520124102224
61555431320
7333136023
oct114657700
941812413
1020144064
1110409596
1268b5540
134233b85
1429651ba
151b7d929
hex1335fc0

20144064 has 28 divisors (see below), whose sum is σ = 53298344. Its totient is φ = 6714624.

The previous prime is 20144053. The next prime is 20144071. The reversal of 20144064 is 46044102.

It is a self number, because there is not a number n which added to its sum of digits gives 20144064.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52267 + ... + 52650.

Almost surely, 220144064 is an apocalyptic number.

20144064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20144064 is an abundant number, since it is smaller than the sum of its proper divisors (33154280).

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

20144064 is a wasteful number, since it uses less digits than its factorization.

20144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104932 (or 104922 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20144064 is about 4488.2138986461. The cubic root of 20144064 is about 272.0919527632.

Adding to 20144064 its reverse (46044102), we get a palindrome (66188166).

The spelling of 20144064 in words is "twenty million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 104917 209834 314751 419668 629502 839336 1259004 1678672 2518008 3357344 5036016 6714688 10072032 20144064