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1132683264 = 21335569
BaseRepresentation
bin100001110000011…
…0110000000000000
32220221100021100000
41003200312000000
54304431331024
6304221200000
740032435366
oct10340660000
92827307300
101132683264
11531408779
12277400000
131508850ab
14aa609636
156968ecc9
hex43836000

1132683264 has 168 divisors, whose sum is σ = 3399144840. Its totient is φ = 376897536.

The previous prime is 1132683229. The next prime is 1132683281. The reversal of 1132683264 is 4623862311.

1132683264 is a `hidden beast` number, since 1 + 1 + 326 + 8 + 326 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990372 + ... + 1990940.

It is an arithmetic number, because the mean of its divisors is an integer number (20233005).

Almost surely, 21132683264 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 1132683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699572420).

1132683264 is an abundant number, since it is smaller than the sum of its proper divisors (2266461576).

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

1132683264 is an frugal number, since it uses more digits than its factorization.

1132683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 574 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1132683264 is about 33655.3601080125. The cubic root of 1132683264 is about 1042.4042207953.

The spelling of 1132683264 in words is "one billion, one hundred thirty-two million, six hundred eighty-three thousand, two hundred sixty-four".