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1087136 = 2553641
BaseRepresentation
bin100001001011010100000
32001020021022
410021122200
5234242021
635145012
712145331
oct4113240
92036238
101087136
11682866
12445168
132c0a9b
14204288
151671ab
hex1096a0

1087136 has 24 divisors (see below), whose sum is σ = 2184084. Its totient is φ = 532480.

The previous prime is 1087129. The next prime is 1087147. The reversal of 1087136 is 6317801.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 126736 = 980^2 + 356^2 .

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 1376 + ... + 2016.

21087136 is an apocalyptic number.

1087136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092042).

1087136 is an abundant number, since it is smaller than the sum of its proper divisors (1096948).

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

1087136 is an equidigital number, since it uses as much as digits as its factorization.

1087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1087136 is about 1042.6581414826. The cubic root of 1087136 is about 102.8240310820.

The spelling of 1087136 in words is "one million, eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 641 848 1282 1696 2564 5128 10256 20512 33973 67946 135892 271784 543568 1087136