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1132960 = 2557397
BaseRepresentation
bin100010100100110100000
32010120010111
410110212200
5242223320
640141104
712426043
oct4244640
92116114
101132960
11704234
12467794
133088ba
14216c5a
15175a5a
hex1149a0

1132960 has 48 divisors (see below), whose sum is σ = 2741256. Its totient is φ = 442368.

The previous prime is 1132949. The next prime is 1132969. The reversal of 1132960 is 692311.

It can be written as a sum of positive squares in 4 ways, for example, as 913936 + 219024 = 956^2 + 468^2 .

It is not an unprimeable number, because it can be changed into a prime (1132969) 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 7 ways as a sum of consecutive naturals, for example, 11632 + ... + 11728.

21132960 is an apocalyptic number.

1132960 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 1132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370628).

1132960 is an abundant number, since it is smaller than the sum of its proper divisors (1608296).

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

1132960 is an equidigital number, since it uses as much as digits as its factorization.

1132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1132960 is about 1064.4059376009. The cubic root of 1132960 is about 104.2489106922.

The spelling of 1132960 in words is "one million, one hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 97 146 160 194 292 365 388 485 584 730 776 970 1168 1460 1552 1940 2336 2920 3104 3880 5840 7081 7760 11680 14162 15520 28324 35405 56648 70810 113296 141620 226592 283240 566480 1132960