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12990384 = 24321159139
BaseRepresentation
bin110001100011…
…011110110000
3220102222110100
4301203132300
511311143014
61142232400
7215262561
oct61433660
926388410
1012990384
117372960
124425700
1328caa24
141a22168
151219009
hexc637b0

12990384 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3841920.

The previous prime is 12990371. The next prime is 12990403. The reversal of 12990384 is 48309921.

12990384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 93387 + ... + 93525.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 212990384 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 12990384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12990384 is an abundant number, since it is smaller than the sum of its proper divisors (27632016).

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

12990384 is a wasteful number, since it uses less digits than its factorization.

12990384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 12990384 is about 3604.2175295062. The cubic root of 12990384 is about 235.0754789988.

The spelling of 12990384 in words is "twelve million, nine hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 59 66 72 88 99 118 132 139 144 176 177 198 236 264 278 354 396 417 472 528 531 556 649 708 792 834 944 1062 1112 1251 1298 1416 1529 1584 1668 1947 2124 2224 2502 2596 2832 3058 3336 3894 4248 4587 5004 5192 5841 6116 6672 7788 8201 8496 9174 10008 10384 11682 12232 13761 15576 16402 18348 20016 23364 24464 24603 27522 31152 32804 36696 46728 49206 55044 65608 73392 73809 90211 93456 98412 110088 131216 147618 180422 196824 220176 270633 295236 360844 393648 541266 590472 721688 811899 1082532 1180944 1443376 1623798 2165064 3247596 4330128 6495192 12990384