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12984608 = 2574132
BaseRepresentation
bin110001100010…
…000100100000
3220102200112102
4301202010200
511311001413
61142145532
7215240000
oct61420440
926380472
1012984608
11736958a
1244222a8
1328c8200
141a20000
151217458
hexc62120

12984608 has 90 divisors (see below), whose sum is σ = 32292729. Its totient is φ = 5136768.

The previous prime is 12984599. The next prime is 12984611. The reversal of 12984608 is 80648921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11102224 + 1882384 = 3332^2 + 1372^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2548.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 998810 + ... + 998822.

Almost surely, 212984608 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 12984608

12984608 is an abundant number, since it is smaller than the sum of its proper divisors (19308121).

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

12984608 is an frugal number, since it uses more digits than its factorization.

12984608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 12984608 is about 3603.4161569266. The cubic root of 12984608 is about 235.0406327808.

The spelling of 12984608 in words is "twelve million, nine hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 169 182 196 208 224 338 343 364 392 416 637 676 686 728 784 1183 1274 1352 1372 1456 1568 2366 2401 2548 2704 2744 2912 4459 4732 4802 5096 5408 5488 8281 8918 9464 9604 10192 10976 16562 17836 18928 19208 20384 31213 33124 35672 37856 38416 57967 62426 66248 71344 76832 115934 124852 132496 142688 231868 249704 264992 405769 463736 499408 811538 927472 998816 1623076 1854944 3246152 6492304 12984608