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1125760 = 2751759
BaseRepresentation
bin100010010110110000000
32010012020211
410102312000
5242011020
640043504
712366046
oct4226600
92105224
101125760
116a9889
12463594
1330553c
14214396
1517385a
hex112d80

1125760 has 32 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 450048.

The previous prime is 1125739. The next prime is 1125763. The reversal of 1125760 is 675211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125763) 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 3 ways as a sum of consecutive naturals, for example, 240 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

21125760 is an apocalyptic number.

1125760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125760 is an abundant number, since it is smaller than the sum of its proper divisors (1567040).

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

1125760 is an equidigital number, since it uses as much as digits as its factorization.

1125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1125760 is about 1061.0183787287. The cubic root of 1125760 is about 104.0276060837.

The spelling of 1125760 in words is "one million, one hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1759 3518 7036 8795 14072 17590 28144 35180 56288 70360 112576 140720 225152 281440 562880 1125760