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21084096 = 2631167149
BaseRepresentation
bin101000001101…
…1011111000000
31110200011221110
41100123133000
520344142341
62031523320
7344132445
oct120333700
943604843
1021084096
11109a0880
127089540
1344a29c7
142b2b9cc
151cb7216
hex141b7c0

21084096 has 112 divisors (see below), whose sum is σ = 62179200. Its totient is φ = 6251520.

The previous prime is 21084083. The next prime is 21084103. The reversal of 21084096 is 69048012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141430 + ... + 141578.

Almost surely, 221084096 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 21084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089600).

21084096 is an abundant number, since it is smaller than the sum of its proper divisors (41095104).

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

21084096 is a wasteful number, since it uses less digits than its factorization.

21084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21084096 is about 4591.7421530395. The cubic root of 21084096 is about 276.2602040961.

It can be divided in two parts, 2108 and 4096, that multiplied together give a palindrome (8634368).

The spelling of 21084096 in words is "twenty-one million, eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 132 134 149 176 192 201 264 268 298 352 402 447 528 536 596 704 737 804 894 1056 1072 1192 1474 1608 1639 1788 2112 2144 2211 2384 2948 3216 3278 3576 4288 4422 4768 4917 5896 6432 6556 7152 8844 9536 9834 9983 11792 12864 13112 14304 17688 19668 19966 23584 26224 28608 29949 35376 39336 39932 47168 52448 59898 70752 78672 79864 104896 109813 119796 141504 157344 159728 219626 239592 314688 319456 329439 439252 479184 638912 658878 878504 958368 1317756 1757008 1916736 2635512 3514016 5271024 7028032 10542048 21084096