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1132560 = 2432511213
BaseRepresentation
bin100010100100000010000
32010112120200
410110200100
5242220220
640135200
712424632
oct4244020
92115520
101132560
11703a00
12467500
13308670
14216a52
15175890
hex114810

1132560 has 180 divisors, whose sum is σ = 4502316. Its totient is φ = 253440.

The previous prime is 1132541. The next prime is 1132561. The reversal of 1132560 is 652311.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 853776 = 528^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132561) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 87114 + ... + 87126.

21132560 is an apocalyptic number.

1132560 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 1132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251158).

1132560 is an abundant number, since it is smaller than the sum of its proper divisors (3369756).

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

1132560 is a wasteful number, since it uses less digits than its factorization.

1132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1132560 is about 1064.2180227754. The cubic root of 1132560 is about 104.2366406289.

Adding to 1132560 its reverse (652311), we get a palindrome (1784871).

Subtracting from 1132560 its reverse (652311), we obtain a square (480249 = 6932).

The spelling of 1132560 in words is "one million, one hundred thirty-two thousand, five hundred sixty".