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20889216 = 273218133
BaseRepresentation
bin100111110101…
…1111010000000
31110022021121200
41033223322000
520321423331
62023421200
7342361335
oct117537200
943267550
1020889216
1110878417
126bb4800
1344350aa
142aba98c
151c795e6
hex13ebe80

20889216 has 48 divisors (see below), whose sum is σ = 60114210. Its totient is φ = 6962688.

The previous prime is 20889199. The next prime is 20889223. The reversal of 20889216 is 61298802.

It can be written as a sum of positive squares in only one way, i.e., 18455616 + 2433600 = 4296^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7915 + ... + 10218.

Almost surely, 220889216 is an apocalyptic number.

It is an amenable number.

20889216 is an abundant number, since it is smaller than the sum of its proper divisors (39224994).

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

20889216 is a wasteful number, since it uses less digits than its factorization.

20889216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18153 (or 18138 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20889216 is about 4570.4721856718. The cubic root of 20889216 is about 275.4064117562.

The spelling of 20889216 in words is "twenty million, eight hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18133 36266 54399 72532 108798 145064 163197 217596 290128 326394 435192 580256 652788 870384 1160512 1305576 1740768 2321024 2611152 3481536 5222304 6963072 10444608 20889216