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1132320 = 25357337

1132320 has 96 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 258048.

The previous prime is 1132309. The next prime is 1132321. The reversal of 1132320 is 232311.

It is a happy number.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1132296 and 1132305.

It is not an unprimeable number, because it can be changed into a prime (1132321) 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 15 ways as a sum of consecutive naturals, for example, 3192 + ... + 3528.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

21132320 is an apocalyptic number.

1132320 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 1132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044224).

1132320 is an abundant number, since it is smaller than the sum of its proper divisors (2956128).

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

1132320 is a wasteful number, since it uses less digits than its factorization.

1132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1132320 is about 1064.1052579515. The cubic root of 1132320 is about 104.2292772041.

Adding to 1132320 its reverse (232311), we get a palindrome (1364631).

Subtracting from 1132320 its reverse (232311), we obtain a palindrome (900009).

The spelling of 1132320 in words is "one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 337 420 480 560 672 674 840 1011 1120 1348 1680 1685 2022 2359 2696 3360 3370 4044 4718 5055 5392 6740 7077 8088 9436 10110 10784 11795 13480 14154 16176 18872 20220 23590 26960 28308 32352 35385 37744 40440 47180 53920 56616 70770 75488 80880 94360 113232 141540 161760 188720 226464 283080 377440 566160 1132320