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21084168 = 2337413061
BaseRepresentation
bin101000001101…
…1100000001000
31110200012001010
41100123200020
520344143133
62031523520
7344132610
oct120334010
943605033
1021084168
11109a0936
1270895a0
1344a2a51
142b2ba40
151cb7263
hex141b808

21084168 has 64 divisors (see below), whose sum is σ = 61729920. Its totient is φ = 5875200.

The previous prime is 21084139. The next prime is 21084187. The reversal of 21084168 is 86148012.

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, 5358 + ... + 8418.

It is an arithmetic number, because the mean of its divisors is an integer number (964530).

Almost surely, 221084168 is an apocalyptic number.

21084168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21084168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30864960).

21084168 is an abundant number, since it is smaller than the sum of its proper divisors (40645752).

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

21084168 is a wasteful number, since it uses less digits than its factorization.

21084168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 21084168 is about 4591.7499931943. The cubic root of 21084168 is about 276.2605185624.

The spelling of 21084168 in words is "twenty-one million, eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3061 3444 6122 6888 9183 12244 18366 21427 24488 36732 42854 64281 73464 85708 125501 128562 171416 251002 257124 376503 502004 514248 753006 878507 1004008 1506012 1757014 2635521 3012024 3514028 5271042 7028056 10542084 21084168