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12801984 = 2631323223
BaseRepresentation
bin110000110101…
…011111000000
3220002102000120
4300311133000
511234130414
61134220240
7213546366
oct60653700
926072016
1012801984
117254358
124354680
132863050
1419b3636
1511cd2a9
hexc357c0

12801984 has 112 divisors (see below), whose sum is σ = 38234112. Its totient is φ = 3750912.

The previous prime is 12801983. The next prime is 12801989. The reversal of 12801984 is 48910821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801983) by changing a digit.

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, 57297 + ... + 57519.

It is an arithmetic number, because the mean of its divisors is an integer number (341376).

Almost surely, 212801984 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 12801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117056).

12801984 is an abundant number, since it is smaller than the sum of its proper divisors (25432128).

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

12801984 is a wasteful number, since it uses less digits than its factorization.

12801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 12801984 is about 3577.9860256854. The cubic root of 12801984 is about 233.9335043726.

The spelling of 12801984 in words is "twelve million, eight hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 223 276 299 312 368 416 446 552 598 624 669 736 832 892 897 1104 1196 1248 1338 1472 1784 1794 2208 2392 2496 2676 2899 3568 3588 4416 4784 5129 5352 5798 7136 7176 8697 9568 10258 10704 11596 14272 14352 15387 17394 19136 20516 21408 23192 28704 30774 34788 41032 42816 46384 57408 61548 66677 69576 82064 92768 123096 133354 139152 164128 185536 200031 246192 266708 278304 328256 400062 492384 533416 556608 800124 984768 1066832 1600248 2133664 3200496 4267328 6400992 12801984