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986144 = 2530817
BaseRepresentation
bin11110000110000100000
31212002201212
43300300200
5223024034
633045252
711245025
oct3606040
91762655
10986144
116139a5
123b6828
13286b23
141b954c
151472ce
hexf0c20

986144 has 12 divisors (see below), whose sum is σ = 1941534. Its totient is φ = 493056.

The previous prime is 986143. The next prime is 986147. The reversal of 986144 is 441689.

It can be written as a sum of positive squares in only one way, i.e., 976144 + 10000 = 988^2 + 100^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 30817 = 986144 / (9 + 8 + 6 + 1 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 986144.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 986144.

It is not an unprimeable number, because it can be changed into a prime (986143) 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 as a sum of consecutive naturals, namely, 15377 + ... + 15440.

2986144 is an apocalyptic number.

It is an amenable number.

986144 is a deficient number, since it is larger than the sum of its proper divisors (955390).

986144 is a wasteful number, since it uses less digits than its factorization.

986144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30827 (or 30819 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 986144 is about 993.0478336918. The cubic root of 986144 is about 99.5359835509.

The spelling of 986144 in words is "nine hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 30817 61634 123268 246536 493072 986144