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1121328 = 243213599
BaseRepresentation
bin100010001110000110000
32002222011200
410101300300
5241340303
640011200
712350115
oct4216060
92088150
101121328
116a651a
12460b00
13303510
1421290c
151723a3
hex111c30

1121328 has 60 divisors (see below), whose sum is σ = 3385200. Its totient is φ = 344448.

The previous prime is 1121317. The next prime is 1121333. The reversal of 1121328 is 8231211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1121328.

It is an unprimeable number.

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, 1573 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

21121328 is an apocalyptic number.

1121328 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 1121328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692600).

1121328 is an abundant number, since it is smaller than the sum of its proper divisors (2263872).

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

1121328 is a wasteful number, since it uses less digits than its factorization.

1121328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1121328 is about 1058.9277595757. The cubic root of 1121328 is about 103.8909112545.

Adding to 1121328 its reverse (8231211), we get a palindrome (9352539).

The spelling of 1121328 in words is "one million, one hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 599 624 936 1198 1797 1872 2396 3594 4792 5391 7188 7787 9584 10782 14376 15574 21564 23361 28752 31148 43128 46722 62296 70083 86256 93444 124592 140166 186888 280332 373776 560664 1121328