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1128407040 = 2133253061
BaseRepresentation
bin100001101000010…
…0010000000000000
32220122022000110100
41003100202000000
54302333011130
6303545402400
736651205305
oct10320420000
92818260410
101128407040
11529a57a02
12275a99400
1314ca18897
14a9c150ac
15690e7c60
hex43422000

1128407040 has 168 divisors, whose sum is σ = 3912850188. Its totient is φ = 300810240.

The previous prime is 1128406999. The next prime is 1128407041. The reversal of 1128407040 is 407048211.

It can be written as a sum of positive squares in 2 ways, for example, as 1077940224 + 50466816 = 32832^2 + 7104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1128406995 and 1128407013.

It is not an unprimeable number, because it can be changed into a prime (1128407041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367110 + ... + 370170.

Almost surely, 21128407040 is an apocalyptic number.

1128407040 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 1128407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956425094).

1128407040 is an abundant number, since it is smaller than the sum of its proper divisors (2784443148).

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

1128407040 is an equidigital number, since it uses as much as digits as its factorization.

1128407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1128407040 is about 33591.7704207444. The cubic root of 1128407040 is about 1041.0907687991.

The spelling of 1128407040 in words is "one billion, one hundred twenty-eight million, four hundred seven thousand, forty".