Search a number
-
+
12987816 = 2334167197
BaseRepresentation
bin110001100010…
…110110101000
3220102211221020
4301202312220
511311102231
61142212440
7215252232
oct61426650
926384836
1012987816
117370a36
124424120
1328c97ca
141a21252
151218396
hexc62da8

12987816 has 64 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 4139520.

The previous prime is 12987797. The next prime is 12987829. The reversal of 12987816 is 61878921.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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, 65830 + ... + 66026.

It is an arithmetic number, because the mean of its divisors is an integer number (530145).

Almost surely, 212987816 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 12987816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

12987816 is an abundant number, since it is smaller than the sum of its proper divisors (20941464).

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

12987816 is a wasteful number, since it uses less digits than its factorization.

12987816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 12987816 is about 3603.8612625904. The cubic root of 12987816 is about 235.0599877038.

The spelling of 12987816 in words is "twelve million, nine hundred eighty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 67 82 123 134 164 197 201 246 268 328 394 402 492 536 591 788 804 984 1182 1576 1608 2364 2747 4728 5494 8077 8241 10988 13199 16154 16482 21976 24231 26398 32308 32964 39597 48462 52796 64616 65928 79194 96924 105592 158388 193848 316776 541159 1082318 1623477 2164636 3246954 4329272 6493908 12987816