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12697984 = 27132587
BaseRepresentation
bin110000011100…
…000110000000
3212220010100201
4300130012000
511222313414
61132054544
7212634235
oct60340600
925803321
1012697984
117193202
124304454
132827900
14198778c
1511ac574
hexc1c180

12697984 has 48 divisors (see below), whose sum is σ = 27439020. Its totient is φ = 5850624.

The previous prime is 12697981. The next prime is 12697999. The reversal of 12697984 is 48979621.

It is a super-2 number, since 2×126979842 = 322477595328512, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12697981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21339 + ... + 21925.

Almost surely, 212697984 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 12697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719510).

12697984 is an abundant number, since it is smaller than the sum of its proper divisors (14741036).

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

12697984 is an equidigital number, since it uses as much as digits as its factorization.

12697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 602 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 12697984 is about 3563.4230733945. The cubic root of 12697984 is about 233.2983094823.

The spelling of 12697984 in words is "twelve million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 587 676 832 1174 1352 1664 2348 2704 4696 5408 7631 9392 10816 15262 18784 21632 30524 37568 61048 75136 99203 122096 198406 244192 396812 488384 793624 976768 1587248 3174496 6348992 12697984