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989136 = 24326869
BaseRepresentation
bin11110001011111010000
31212020211200
43301133100
5223123021
633111200
711256531
oct3613720
91766750
10989136
11616175
123b8500
132882b5
141ba688
15148126
hexf17d0

989136 has 30 divisors (see below), whose sum is σ = 2768610. Its totient is φ = 329664.

The previous prime is 989123. The next prime is 989171. The reversal of 989136 is 631989.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 435600 = 744^2 + 660^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 989136.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 989136.

It is an unprimeable number.

989136 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 3291 + ... + 3578.

It is an arithmetic number, because the mean of its divisors is an integer number (92287).

2989136 is an apocalyptic number.

It is an amenable number.

989136 is an abundant number, since it is smaller than the sum of its proper divisors (1779474).

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

989136 is a wasteful number, since it uses less digits than its factorization.

989136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6874 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 989136 is about 994.5531659997. The cubic root of 989136 is about 99.6365472883.

The spelling of 989136 in words is "nine hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6869 13738 20607 27476 41214 54952 61821 82428 109904 123642 164856 247284 329712 494568 989136