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1136128 = 297317
BaseRepresentation
bin100010101011000000000
32010201110211
410111120000
5242324003
640203504
712441220
oct4253000
92121424
101136128
11706654
12469594
1330a186
14218080
1517696d
hex115600

1136128 has 40 divisors (see below), whose sum is σ = 2602512. Its totient is φ = 485376.

The previous prime is 1136123. The next prime is 1136129. The reversal of 1136128 is 8216311.

It is a junction number, because it is equal to n+sod(n) for n = 1136099 and 1136108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3426 + ... + 3742.

21136128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301256).

1136128 is an abundant number, since it is smaller than the sum of its proper divisors (1466384).

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

1136128 is an frugal number, since it uses more digits than its factorization.

1136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

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

The square root of 1136128 is about 1065.8930527966. The cubic root of 1136128 is about 104.3459877293.

It can be divided in two parts, 113 and 6128, that added together give a square (6241 = 792).

The spelling of 1136128 in words is "one million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 317 448 512 634 896 1268 1792 2219 2536 3584 4438 5072 8876 10144 17752 20288 35504 40576 71008 81152 142016 162304 284032 568064 1136128