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12084384 = 2531323421
BaseRepresentation
bin101110000110…
…010010100000
3211201221122210
4232012102200
511043200014
61111002120
7204500304
oct56062240
924657583
1012084384
1169041a4
124069340
132671530
141867d04
1510da859
hexb864a0

12084384 has 96 divisors (see below), whose sum is σ = 35731584. Its totient is φ = 3548160.

The previous prime is 12084343. The next prime is 12084403. The reversal of 12084384 is 48348021.

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

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, 28494 + ... + 28914.

It is an arithmetic number, because the mean of its divisors is an integer number (372204).

Almost surely, 212084384 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 12084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865792).

12084384 is an abundant number, since it is smaller than the sum of its proper divisors (23647200).

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

12084384 is a wasteful number, since it uses less digits than its factorization.

12084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 12084384 is about 3476.2600593166. The cubic root of 12084384 is about 229.4782375499.

The spelling of 12084384 in words is "twelve million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 421 552 598 624 736 842 897 1104 1196 1248 1263 1684 1794 2208 2392 2526 3368 3588 4784 5052 5473 6736 7176 9568 9683 10104 10946 13472 14352 16419 19366 20208 21892 28704 29049 32838 38732 40416 43784 58098 65676 77464 87568 116196 125879 131352 154928 175136 232392 251758 262704 309856 377637 464784 503516 525408 755274 929568 1007032 1510548 2014064 3021096 4028128 6042192 12084384