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1133145 = 325132149
BaseRepresentation
bin100010100101001011001
32010120101100
410110221121
5242230040
640142013
712426426
oct4245131
92116340
101133145
11704392
12467909
13308a00
14216d4d
15175b30
hex114a59

1133145 has 36 divisors (see below), whose sum is σ = 2141100. Its totient is φ = 554112.

The previous prime is 1133131. The next prime is 1133147. The reversal of 1133145 is 5413311.

It can be written as a sum of positive squares in 6 ways, for example, as 447561 + 685584 = 669^2 + 828^2 .

It is not a de Polignac number, because 1133145 - 27 = 1133017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1133147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7531 + ... + 7679.

It is an arithmetic number, because the mean of its divisors is an integer number (59475).

21133145 is an apocalyptic number.

1133145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1133145 is a deficient number, since it is larger than the sum of its proper divisors (1007955).

1133145 is a wasteful number, since it uses less digits than its factorization.

1133145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 1133145 is about 1064.4928369886. The cubic root of 1133145 is about 104.2545846197.

Adding to 1133145 its reverse (5413311), we get a palindrome (6546456).

The spelling of 1133145 in words is "one million, one hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 149 169 195 447 507 585 745 845 1341 1521 1937 2235 2535 5811 6705 7605 9685 17433 25181 29055 75543 87165 125905 226629 377715 1133145