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1128361 = 13294173
BaseRepresentation
bin100010011011110101001
32010022211011
410103132221
5242101421
640103521
712406453
oct4233651
92108734
101128361
11700833
12464ba1
13306790
142152d3
151744e1
hex1137a9

1128361 has 16 divisors (see below), whose sum is σ = 1305360. Its totient is φ = 967680.

The previous prime is 1128349. The next prime is 1128371. The reversal of 1128361 is 1638211.

It can be written as a sum of positive squares in 8 ways, for example, as 197136 + 931225 = 444^2 + 965^2 .

It is a cyclic number.

It is not a de Polignac number, because 1128361 - 27 = 1128233 is a prime.

It is an Ulam number.

It is a Duffinian number.

1128361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1128301) 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 15 ways as a sum of consecutive naturals, for example, 15421 + ... + 15493.

It is an arithmetic number, because the mean of its divisors is an integer number (81585).

21128361 is an apocalyptic number.

It is an amenable number.

1128361 is a deficient number, since it is larger than the sum of its proper divisors (176999).

1128361 is a wasteful number, since it uses less digits than its factorization.

1128361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its digits is 288, while the sum is 22.

The square root of 1128361 is about 1062.2433807749. The cubic root of 1128361 is about 104.1076609467.

The spelling of 1128361 in words is "one million, one hundred twenty-eight thousand, three hundred sixty-one".

Divisors: 1 13 29 41 73 377 533 949 1189 2117 2993 15457 27521 38909 86797 1128361