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1081125 = 3253312
BaseRepresentation
bin100000111111100100101
32000221000200
410013330211
5234044000
635101113
712121653
oct4077445
92027020
101081125
116792a1
12441799
132bb126
14201dd3
15165500
hex107f25

1081125 has 36 divisors (see below), whose sum is σ = 2013804. Its totient is φ = 558000.

The previous prime is 1081123. The next prime is 1081127. The reversal of 1081125 is 5211801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1081123) and next prime (1081127).

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 1046529 = 186^2 + 1023^2 .

It is not a de Polignac number, because 1081125 - 21 = 1081123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1081098 and 1081107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 34860 + ... + 34890.

It is an arithmetic number, because the mean of its divisors is an integer number (55939).

21081125 is an apocalyptic number.

1081125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1081125 is a deficient number, since it is larger than the sum of its proper divisors (932679).

1081125 is an equidigital number, since it uses as much as digits as its factorization.

1081125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1081125 is about 1039.7716095374. The cubic root of 1081125 is about 102.6341689370.

Multiplying 1081125 by its product of nonzero digits (80), we get a square (86490000 = 93002).

Adding to 1081125 its reverse (5211801), we get a palindrome (6292926).

The spelling of 1081125 in words is "one million, eighty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 375 465 775 961 1125 1395 2325 2883 3875 4805 6975 8649 11625 14415 24025 34875 43245 72075 120125 216225 360375 1081125