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12021984 = 253213319
BaseRepresentation
bin101101110111…
…000011100000
3211121210001200
4231313003200
511034200414
61105401200
7204120342
oct55670340
924553050
1012021984
116871327
124039200
13264c000
14184d292
1510c7109
hexb770e0

12021984 has 144 divisors (see below), whose sum is σ = 38984400. Its totient is φ = 3504384.

The previous prime is 12021973. The next prime is 12021991. The reversal of 12021984 is 48912021.

12021984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632727 + ... + 632745.

It is an arithmetic number, because the mean of its divisors is an integer number (270725).

Almost surely, 212021984 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 12021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492200).

12021984 is an abundant number, since it is smaller than the sum of its proper divisors (26962416).

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

12021984 is a wasteful number, since it uses less digits than its factorization.

12021984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

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

The square root of 12021984 is about 3467.2732802593. The cubic root of 12021984 is about 229.0825709877.

The spelling of 12021984 in words is "twelve million, twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 169 171 208 228 234 247 288 304 312 338 342 416 456 468 494 507 608 624 676 684 741 912 936 988 1014 1248 1352 1368 1482 1521 1824 1872 1976 2028 2197 2223 2704 2736 2964 3042 3211 3744 3952 4056 4394 4446 5408 5472 5928 6084 6422 6591 7904 8112 8788 8892 9633 11856 12168 12844 13182 16224 17576 17784 19266 19773 23712 24336 25688 26364 28899 35152 35568 38532 39546 41743 48672 51376 52728 57798 70304 71136 77064 79092 83486 102752 105456 115596 125229 154128 158184 166972 210912 231192 250458 308256 316368 333944 375687 462384 500916 632736 667888 751374 924768 1001832 1335776 1502748 2003664 3005496 4007328 6010992 12021984