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1130765328 = 2432711273127
BaseRepresentation
bin100001101100110…
…0001110000010000
32220210201211102100
41003121201300100
54303433442303
6304112120400
740010226630
oct10331416020
92823654370
101130765328
11530318800
12276836100
13150363114
14aa26a6c0
15694118a3
hex43661c10

1130765328 has 360 divisors, whose sum is σ = 4061517824. Its totient is φ = 287400960.

The previous prime is 1130765323. The next prime is 1130765329. The reversal of 1130765328 is 8235670311.

1130765328 is a `hidden beast` number, since 113 + 0 + 7 + 6 + 532 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130765292 and 1130765301.

It is not an unprimeable number, because it can be changed into a prime (1130765323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8903601 + ... + 8903727.

Almost surely, 21130765328 is an apocalyptic number.

1130765328 is a gapful number since it is divisible by the number (18) 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 1130765328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030758912).

1130765328 is an abundant number, since it is smaller than the sum of its proper divisors (2930752496).

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

1130765328 is a wasteful number, since it uses less digits than its factorization.

1130765328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1130765328 is about 33626.8542685753. The cubic root of 1130765328 is about 1041.8155319306.

The spelling of 1130765328 in words is "one billion, one hundred thirty million, seven hundred sixty-five thousand, three hundred twenty-eight".