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1130976 = 253371117
BaseRepresentation
bin100010100000111100000
32010110102000
410110013200
5242142401
640124000
712420210
oct4240740
92113360
101130976
117027a0
12466600
13307a22
14216240
15175186
hex1141e0

1130976 has 192 divisors, whose sum is σ = 4354560. Its totient is φ = 276480.

The previous prime is 1130963. The next prime is 1130981. The reversal of 1130976 is 6790311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 66520 + ... + 66536.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

21130976 is an apocalyptic number.

1130976 is a gapful number since it is divisible by the number (16) 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 1130976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1130976 is an abundant number, since it is smaller than the sum of its proper divisors (3223584).

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

1130976 is a wasteful number, since it uses less digits than its factorization.

1130976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1130976 is about 1063.4735539730. The cubic root of 1130976 is about 104.1880227857.

The spelling of 1130976 in words is "one million, one hundred thirty thousand, nine hundred seventy-six".