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1132312032 = 25323931639
BaseRepresentation
bin100001101111101…
…1011010111100000
32220220122102002200
41003133123113200
54304332441112
6304205213200
740026331155
oct10337332740
92826572080
101132312032
11531184875
12277261200
13150785127
14aa55022c
1569619cdc
hex437db5e0

1132312032 has 36 divisors (see below), whose sum is σ = 3220013160. Its totient is φ = 377437248.

The previous prime is 1132312031. The next prime is 1132312037. The reversal of 1132312032 is 2302132311.

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 junction number, because it is equal to n+sod(n) for n = 1132311996 and 1132312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132312031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1965532 + ... + 1966107.

It is an arithmetic number, because the mean of its divisors is an integer number (89444810).

Almost surely, 21132312032 is an apocalyptic number.

1132312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132312032 is an abundant number, since it is smaller than the sum of its proper divisors (2087701128).

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

1132312032 is a wasteful number, since it uses less digits than its factorization.

1132312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931655 (or 3931644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1132312032 is about 33649.8444572928. The cubic root of 1132312032 is about 1042.2903272060.

Adding to 1132312032 its reverse (2302132311), we get a palindrome (3434444343).

The spelling of 1132312032 in words is "one billion, one hundred thirty-two million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3931639 7863278 11794917 15726556 23589834 31453112 35384751 47179668 62906224 70769502 94359336 125812448 141539004 188718672 283078008 377437344 566156016 1132312032