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21288096 = 253443191
BaseRepresentation
bin101000100110…
…1010010100000
31111001112210000
41101031102200
520422204341
62040140000
7345642264
oct121152240
944045700
1021288096
1111020075
127167600
13454480b
142b820a4
151d078b6
hex144d4a0

21288096 has 120 divisors (see below), whose sum is σ = 64399104. Its totient is φ = 6894720.

The previous prime is 21288083. The next prime is 21288119. The reversal of 21288096 is 69088212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21288096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111361 + ... + 111551.

Almost surely, 221288096 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 21288096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32199552).

21288096 is an abundant number, since it is smaller than the sum of its proper divisors (43111008).

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

21288096 is a wasteful number, since it uses less digits than its factorization.

21288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

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

The square root of 21288096 is about 4613.9024697104. The cubic root of 21288096 is about 277.1483346675.

The spelling of 21288096 in words is "twenty-one million, two hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 191 216 258 288 324 344 382 387 432 516 573 648 688 764 774 864 1032 1146 1161 1296 1376 1528 1548 1719 2064 2292 2322 2592 3056 3096 3438 3483 4128 4584 4644 5157 6112 6192 6876 6966 8213 9168 9288 10314 12384 13752 13932 15471 16426 18336 18576 20628 24639 27504 27864 30942 32852 37152 41256 49278 55008 55728 61884 65704 73917 82512 98556 111456 123768 131408 147834 165024 197112 221751 247536 262816 295668 394224 443502 495072 591336 665253 788448 887004 1182672 1330506 1774008 2365344 2661012 3548016 5322024 7096032 10644048 21288096