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20960064 = 263236389
BaseRepresentation
bin100111111110…
…1001101000000
31110102212210200
41033331031000
520331210224
62025125200
7343105026
oct117751500
943385720
1020960064
1110916674
127029800
13445b408
142ad8716
151c905c9
hex13fd340

20960064 has 42 divisors (see below), whose sum is σ = 60079890. Its totient is φ = 6986496.

The previous prime is 20960057. The next prime is 20960077. The reversal of 20960064 is 46006902.

It can be written as a sum of positive squares in only one way, i.e., 20793600 + 166464 = 4560^2 + 408^2 .

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 5 ways as a sum of consecutive naturals, for example, 17619 + ... + 18770.

Almost surely, 220960064 is an apocalyptic number.

20960064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20960064 is an abundant number, since it is smaller than the sum of its proper divisors (39119826).

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

20960064 is a wasteful number, since it uses less digits than its factorization.

20960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36407 (or 36394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20960064 is about 4578.2162465310. The cubic root of 20960064 is about 275.7174171402.

Adding to 20960064 its reverse (46006902), we get a palindrome (66966966).

The spelling of 20960064 in words is "twenty million, nine hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 36389 72778 109167 145556 218334 291112 327501 436668 582224 655002 873336 1164448 1310004 1746672 2328896 2620008 3493344 5240016 6986688 10480032 20960064