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1132128 = 25323931
BaseRepresentation
bin100010100011001100000
32010111222200
410110121200
5242212003
640133200
712423444
oct4243140
92114880
101132128
11703648
12467200
133083ca
14216824
151756a3
hex114660

1132128 has 36 divisors (see below), whose sum is σ = 3220308. Its totient is φ = 377280.

The previous prime is 1132123. The next prime is 1132139. The reversal of 1132128 is 8212311.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1132128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132123) 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 5 ways as a sum of consecutive naturals, for example, 1678 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (89453).

21132128 is an apocalyptic number.

1132128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1132128 is an abundant number, since it is smaller than the sum of its proper divisors (2088180).

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

1132128 is a wasteful number, since it uses less digits than its factorization.

1132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3936 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1132128 is about 1064.0150374877. The cubic root of 1132128 is about 104.2233857152.

Adding to 1132128 its reverse (8212311), we get a palindrome (9344439).

The spelling of 1132128 in words is "one million, one hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3931 7862 11793 15724 23586 31448 35379 47172 62896 70758 94344 125792 141516 188688 283032 377376 566064 1132128