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21084192 = 2533231061
BaseRepresentation
bin101000001101…
…1100000100000
31110200012002000
41100123200200
520344143232
62031524000
7344132643
oct120334040
943605060
1021084192
11109a0958
127089600
1344a2a6c
142b2ba5a
151cb727c
hex141b820

21084192 has 96 divisors (see below), whose sum is σ = 64229760. Its totient is φ = 6716160.

The previous prime is 21084187. The next prime is 21084227. The reversal of 21084192 is 29148012.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19342 + ... + 20402.

It is an arithmetic number, because the mean of its divisors is an integer number (669060).

Almost surely, 221084192 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 21084192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32114880).

21084192 is an abundant number, since it is smaller than the sum of its proper divisors (43145568).

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

21084192 is a wasteful number, since it uses less digits than its factorization.

21084192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21084192 is about 4591.7526065763. The cubic root of 21084192 is about 276.2606233843.

The spelling of 21084192 in words is "twenty-one million, eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1061 1104 1242 1656 2122 2208 2484 3183 3312 4244 4968 6366 6624 8488 9549 9936 12732 16976 19098 19872 24403 25464 28647 33952 38196 48806 50928 57294 73209 76392 97612 101856 114588 146418 152784 195224 219627 229176 292836 305568 390448 439254 458352 585672 658881 780896 878508 916704 1171344 1317762 1757016 2342688 2635524 3514032 5271048 7028064 10542096 21084192