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1131120 = 243251571
BaseRepresentation
bin100010100001001110000
32010110121100
410110021300
5242143440
640124400
712420504
oct4241160
92113540
101131120
11702911
12466700
13307b03
14216304
15175230
hex114270

1131120 has 60 divisors (see below), whose sum is σ = 3801096. Its totient is φ = 301440.

The previous prime is 1131113. The next prime is 1131121. The reversal of 1131120 is 211311.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131121) 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, 66 + ... + 1505.

21131120 is an apocalyptic number.

1131120 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 1131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900548).

1131120 is an abundant number, since it is smaller than the sum of its proper divisors (2669976).

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

1131120 is a wasteful number, since it uses less digits than its factorization.

1131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1131120 is about 1063.5412544890. The cubic root of 1131120 is about 104.1924444648.

Adding to 1131120 its reverse (211311), we get a palindrome (1342431).

The spelling of 1131120 in words is "one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1571 3142 4713 6284 7855 9426 12568 14139 15710 18852 23565 25136 28278 31420 37704 47130 56556 62840 70695 75408 94260 113112 125680 141390 188520 226224 282780 377040 565560 1131120