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1135368 = 2332131213
BaseRepresentation
bin100010101001100001000
32010200102200
410111030020
5242312433
640200200
712436053
oct4251410
92120380
101135368
11706023
12469060
13309a20
14217a9a
15176613
hex115308

1135368 has 48 divisors (see below), whose sum is σ = 3314220. Its totient is φ = 349056.

The previous prime is 1135367. The next prime is 1135403. The reversal of 1135368 is 8635311.

It can be written as a sum of positive squares in 2 ways, for example, as 887364 + 248004 = 942^2 + 498^2 .

It is not an unprimeable number, because it can be changed into a prime (1135363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 330 + ... + 1542.

21135368 is an apocalyptic number.

1135368 is a gapful number since it is divisible by the number (18) 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 1135368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657110).

1135368 is an abundant number, since it is smaller than the sum of its proper divisors (2178852).

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

1135368 is a wasteful number, since it uses less digits than its factorization.

1135368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1231 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1135368 is about 1065.5364845936. The cubic root of 1135368 is about 104.3227155158.

The spelling of 1135368 in words is "one million, one hundred thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1213 2426 3639 4852 7278 9704 10917 14556 15769 21834 29112 31538 43668 47307 63076 87336 94614 126152 141921 189228 283842 378456 567684 1135368