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1132740000 = 25325472931
BaseRepresentation
bin100001110000100…
…0011110110100000
32220221110011011100
41003201003312200
54304440140000
6304222314400
740033062660
oct10341036640
92827404140
101132740000
11531447367
12277428a00
131508a4b72
14aa6221a0
15696a1a00
hex43843da0

1132740000 has 720 divisors, whose sum is σ = 4912427520. Its totient is φ = 241920000.

The previous prime is 1132739987. The next prime is 1132740001. The reversal of 1132740000 is 472311.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1132740001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36539985 + ... + 36540015.

It is an arithmetic number, because the mean of its divisors is an integer number (6822816).

Almost surely, 21132740000 is an apocalyptic number.

1132740000 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 1132740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456213760).

1132740000 is an abundant number, since it is smaller than the sum of its proper divisors (3779687520).

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

1132740000 is a wasteful number, since it uses less digits than its factorization.

1132740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1132740000 is about 33656.2029943961. The cubic root of 1132740000 is about 1042.4216251484.

The spelling of 1132740000 in words is "one billion, one hundred thirty-two million, seven hundred forty thousand".