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12893984 = 252317519
BaseRepresentation
bin110001001011…
…111100100000
3220021002012222
4301023330200
511300101414
61140210212
7214411535
oct61137440
926232188
1012893984
117307494
124399968
132895b9c
1419d8d8c
1511ea68e
hexc4bf20

12893984 has 24 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 6166336.

The previous prime is 12893983. The next prime is 12894001. The reversal of 12893984 is 48939821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12893983) 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 3 ways as a sum of consecutive naturals, for example, 8024 + ... + 9495.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 212893984 is an apocalyptic number.

It is an amenable number.

12893984 is an abundant number, since it is smaller than the sum of its proper divisors (13596256).

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

12893984 is a wasteful number, since it uses less digits than its factorization.

12893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17552 (or 17544 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 12893984 is about 3590.8194050941. The cubic root of 12893984 is about 234.4925461690.

The spelling of 12893984 in words is "twelve million, eight hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 17519 35038 70076 140152 280304 402937 560608 805874 1611748 3223496 6446992 12893984