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1128662080 = 2657413113
BaseRepresentation
bin100001101000110…
…0000010001000000
32220122202222022021
41003101200101000
54302414141310
6303555051224
736653320000
oct10321402100
92818688267
101128662080
1152a111587
12275ba0b14
1314caa79b0
14a9c80000
15691485da
hex43460440

1128662080 has 280 divisors, whose sum is σ = 3406441752. Its totient is φ = 354041856.

The previous prime is 1128662057. The next prime is 1128662159. The reversal of 1128662080 is 802668211.

It can be written as a sum of positive squares in 4 ways, for example, as 44408896 + 1084253184 = 6664^2 + 32928^2 .

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×11286620803 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9988104 + ... + 9988216.

Almost surely, 21128662080 is an apocalyptic number.

1128662080 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 1128662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703220876).

1128662080 is an abundant number, since it is smaller than the sum of its proper divisors (2277779672).

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

1128662080 is an equidigital number, since it uses as much as digits as its factorization.

1128662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1128662080 is about 33595.5663741512. The cubic root of 1128662080 is about 1041.1691978821.

The spelling of 1128662080 in words is "one billion, one hundred twenty-eight million, six hundred sixty-two thousand, eighty".