Search a number
-
+
12981744 = 2432175303
BaseRepresentation
bin110001100001…
…010111110000
3220102112121100
4301201113300
511310403434
61142124400
7215225436
oct61412760
926375540
1012981744
117367416
124420700
1328c6b09
141a1cd56
151216699
hexc615f0

12981744 has 60 divisors (see below), whose sum is σ = 38475216. Its totient is φ = 4071936.

The previous prime is 12981737. The next prime is 12981751. The reversal of 12981744 is 44718921.

It is an interprime number because it is at equal distance from previous prime (12981737) and next prime (12981751).

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

It is a junction number, because it is equal to n+sod(n) for n = 12981699 and 12981708.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 204 + ... + 5099.

Almost surely, 212981744 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 12981744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237608).

12981744 is an abundant number, since it is smaller than the sum of its proper divisors (25493472).

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

12981744 is a wasteful number, since it uses less digits than its factorization.

12981744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5325 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12981744 is about 3603.0187343393. The cubic root of 12981744 is about 235.0233506298.

The spelling of 12981744 in words is "twelve million, nine hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 5303 10606 15909 21212 31818 42424 47727 63636 84848 90151 95454 127272 180302 190908 254544 270453 360604 381816 540906 721208 763632 811359 1081812 1442416 1622718 2163624 3245436 4327248 6490872 12981744