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1132240320 = 263252317093
BaseRepresentation
bin100001101111100…
…1001110111000000
32220220111202201200
41003133021313000
54304323142240
6304203501200
740025612121
oct10337116700
92826452650
101132240320
11531135a02
12277227800
1315075b5b3
14aa532048
1569603930
hex437c9dc0

1132240320 has 168 divisors, whose sum is σ = 4063995936. Its totient is φ = 288786432.

The previous prime is 1132240313. The next prime is 1132240321. The reversal of 1132240320 is 230422311.

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 = 1132240293 and 1132240302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132240321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57694 + ... + 74786.

It is an arithmetic number, because the mean of its divisors is an integer number (24190452).

Almost surely, 21132240320 is an apocalyptic number.

1132240320 is a gapful number since it is divisible by the number (10) 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 1132240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031997968).

1132240320 is an abundant number, since it is smaller than the sum of its proper divisors (2931755616).

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

1132240320 is a wasteful number, since it uses less digits than its factorization.

1132240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17139 (or 17126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1132240320 is about 33648.7788782892. The cubic root of 1132240320 is about 1042.2683231706.

Adding to 1132240320 its reverse (230422311), we get a palindrome (1362662631).

The spelling of 1132240320 in words is "one billion, one hundred thirty-two million, two hundred forty thousand, three hundred twenty".