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21108768 = 2533141173
BaseRepresentation
bin101000010000…
…1100000100000
31110201102210020
41100201200200
520400440033
62032233440
7344264412
oct120414040
943642706
1021108768
1110a0836a
12709b880
1344b0cc5
142b369b2
151cbe6b3
hex1421820

21108768 has 96 divisors (see below), whose sum is σ = 58931712. Its totient is φ = 6604800.

The previous prime is 21108757. The next prime is 21108793. The reversal of 21108768 is 86780112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121930 + ... + 122102.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 221108768 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 21108768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29465856).

21108768 is an abundant number, since it is smaller than the sum of its proper divisors (37822944).

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

21108768 is a wasteful number, since it uses less digits than its factorization.

21108768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 21108768 is about 4594.4279295686. The cubic root of 21108768 is about 276.3679193284.

It can be divided in two parts, 2110 and 8768, that added together give a triangular number (10878 = T147).

The spelling of 21108768 in words is "twenty-one million, one hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 173 186 246 248 328 346 372 492 496 519 656 692 744 984 992 1038 1271 1312 1384 1488 1968 2076 2542 2768 2976 3813 3936 4152 5084 5363 5536 7093 7626 8304 10168 10726 14186 15252 16089 16608 20336 21279 21452 28372 30504 32178 40672 42558 42904 56744 61008 64356 85116 85808 113488 122016 128712 170232 171616 219883 226976 257424 340464 439766 514848 659649 680928 879532 1319298 1759064 2638596 3518128 5277192 7036256 10554384 21108768