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1132330752 = 2834729269
BaseRepresentation
bin100001101111101…
…1111111100000000
32220220200100210000
41003133133330000
54304334041002
6304205440000
740026436560
oct10337377400
92826610700
101132330752
11531197943
12277270000
131507907c7
14aa556da0
156962061c
hex437dff00

1132330752 has 360 divisors, whose sum is σ = 4006648800. Its totient is φ = 311205888.

The previous prime is 1132330673. The next prime is 1132330777. The reversal of 1132330752 is 2570332311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4209274 + ... + 4209542.

It is an arithmetic number, because the mean of its divisors is an integer number (11129580).

Almost surely, 21132330752 is an apocalyptic number.

1132330752 is a gapful number since it is divisible by the number (12) 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 1132330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003324400).

1132330752 is an abundant number, since it is smaller than the sum of its proper divisors (2874318048).

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

1132330752 is an equidigital number, since it uses as much as digits as its factorization.

1132330752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1132330752 is about 33650.1226149326. The cubic root of 1132330752 is about 1042.2960710783.

The spelling of 1132330752 in words is "one billion, one hundred thirty-two million, three hundred thirty thousand, seven hundred fifty-two".