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1120320 = 26325389
BaseRepresentation
bin100010001100001000000
32002220210100
410101201000
5241322240
640002400
712344145
oct4214100
92086710
101120320
116a5793
12460400
13302c16
142123cc
15171e30
hex111840

1120320 has 84 divisors (see below), whose sum is σ = 3863340. Its totient is φ = 297984.

The previous prime is 1120319. The next prime is 1120321. The reversal of 1120320 is 230211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1120319) and next prime (1120321).

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 788544 = 576^2 + 888^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2686 + ... + 3074.

21120320 is an apocalyptic number.

1120320 is a gapful number since it is divisible by the number (10) 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 1120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931670).

1120320 is an abundant number, since it is smaller than the sum of its proper divisors (2743020).

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

1120320 is a wasteful number, since it uses less digits than its factorization.

1120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1120320 is about 1058.4516994176. The cubic root of 1120320 is about 103.8597715602.

Adding to 1120320 its reverse (230211), we get a palindrome (1350531).

The spelling of 1120320 in words is "one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 389 480 576 720 778 960 1167 1440 1556 1945 2334 2880 3112 3501 3890 4668 5835 6224 7002 7780 9336 11670 12448 14004 15560 17505 18672 23340 24896 28008 31120 35010 37344 46680 56016 62240 70020 74688 93360 112032 124480 140040 186720 224064 280080 373440 560160 1120320