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1132130320 = 24514151629
BaseRepresentation
bin100001101111010…
…1111000000010000
32220220022011211121
41003132233000100
54304311132240
6304201252024
740024643326
oct10336570020
92826264747
101132130320
115310702a2
12277194014
131507204c9
14aa503d16
15695d104a
hex437af010

1132130320 has 20 divisors (see below), whose sum is σ = 2632203180. Its totient is φ = 452852096.

The previous prime is 1132130309. The next prime is 1132130327. The reversal of 1132130320 is 230312311.

It can be written as a sum of positive squares in 2 ways, for example, as 599074576 + 533055744 = 24476^2 + 23088^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11321303202 = 2563438122926604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1132130294 and 1132130303.

It is not an unprimeable number, because it can be changed into a prime (1132130327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7075735 + ... + 7075894.

It is an arithmetic number, because the mean of its divisors is an integer number (131610159).

Almost surely, 21132130320 is an apocalyptic number.

1132130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132130320 is an abundant number, since it is smaller than the sum of its proper divisors (1500072860).

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

1132130320 is a wasteful number, since it uses less digits than its factorization.

1132130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14151642 (or 14151636 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1132130320 is about 33647.1443067610. The cubic root of 1132130320 is about 1042.2345690796.

Adding to 1132130320 its reverse (230312311), we get a palindrome (1362442631).

The spelling of 1132130320 in words is "one billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14151629 28303258 56606516 70758145 113213032 141516290 226426064 283032580 566065160 1132130320