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1134720 = 27325197

1134720 has 96 divisors (see below), whose sum is σ = 3938220. Its totient is φ = 301056.

The previous prime is 1134719. The next prime is 1134769. The reversal of 1134720 is 274311.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 69696 = 1032^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1134693 and 1134702.

It is an unprimeable number.

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, 5662 + ... + 5858.

21134720 is an apocalyptic number.

1134720 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 1134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969110).

1134720 is an abundant number, since it is smaller than the sum of its proper divisors (2803500).

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

1134720 is a wasteful number, since it uses less digits than its factorization.

1134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1134720 is about 1065.2323690163. The cubic root of 1134720 is about 104.3028646878.

The spelling of 1134720 in words is "one million, one hundred thirty-four thousand, seven 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 96 120 128 144 160 180 192 197 240 288 320 360 384 394 480 576 591 640 720 788 960 985 1152 1182 1440 1576 1773 1920 1970 2364 2880 2955 3152 3546 3940 4728 5760 5910 6304 7092 7880 8865 9456 11820 12608 14184 15760 17730 18912 23640 25216 28368 31520 35460 37824 47280 56736 63040 70920 75648 94560 113472 126080 141840 189120 226944 283680 378240 567360 1134720