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1132716000 = 253531353137
BaseRepresentation
bin100001110000011…
…1101111111100000
32220221101221020110
41003200331333200
54304433403000
6304222011320
740032633003
oct10340757740
92827357213
101132716000
11531430329
12277416b40
13150896c70
14aa61753a
1569699850
hex4383dfe0

1132716000 has 384 divisors, whose sum is σ = 4101342336. Its totient is φ = 271564800.

The previous prime is 1132715993. The next prime is 1132716007. The reversal of 1132716000 is 6172311.

It is an interprime number because it is at equal distance from previous prime (1132715993) and next prime (1132716007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132716007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8267932 + ... + 8268068.

It is an arithmetic number, because the mean of its divisors is an integer number (10680579).

Almost surely, 21132716000 is an apocalyptic number.

1132716000 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 1132716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050671168).

1132716000 is an abundant number, since it is smaller than the sum of its proper divisors (2968626336).

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

1132716000 is a wasteful number, since it uses less digits than its factorization.

1132716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1132716000 is about 33655.8464460486. The cubic root of 1132716000 is about 1042.4142629719.

Adding to 1132716000 its reverse (6172311), we get a palindrome (1138888311).

The spelling of 1132716000 in words is "one billion, one hundred thirty-two million, seven hundred sixteen thousand".