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1123432064 = 273129133
BaseRepresentation
bin100001011110110…
…0011011010000000
32220021221021001222
41002331203122000
54300044311224
6303251014212
736561005066
oct10275433200
92807837058
101123432064
1152716a157
1227429a368
1314b996301
14a92bc036
1568963b5e
hex42f63680

1123432064 has 48 divisors (see below), whose sum is σ = 2312865810. Its totient is φ = 543536640.

The previous prime is 1123432049. The next prime is 1123432087. The reversal of 1123432064 is 4602343211.

It can be written as a sum of positive squares in only one way, i.e., 813390400 + 310041664 = 28520^2 + 17608^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 118442 + ... + 127574.

Almost surely, 21123432064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156432905).

1123432064 is an abundant number, since it is smaller than the sum of its proper divisors (1189433746).

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

1123432064 is an frugal number, since it uses more digits than its factorization.

1123432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1123432064 is about 33517.6381029451. The cubic root of 1123432064 is about 1039.5585108353.

Adding to 1123432064 its reverse (4602343211), we get a palindrome (5725775275).

The spelling of 1123432064 in words is "one billion, one hundred twenty-three million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1922 1984 3844 3968 7688 9133 15376 18266 30752 36532 61504 73064 123008 146128 283123 292256 566246 584512 1132492 1169024 2264984 4529968 8776813 9059936 17553626 18119872 35107252 36239744 70214504 140429008 280858016 561716032 1123432064