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1124080128 = 29321937347
BaseRepresentation
bin100001100000000…
…0001101000000000
32220100011012001100
41003000001220000
54300231031003
6303312534400
736566344353
oct10300015000
92810135040
101124080128
11527572046
12274551400
1314bb62292
14a940a29a
1568a40ba3
hex43001a00

1124080128 has 240 divisors, whose sum is σ = 3517319520. Its totient is φ = 344383488.

The previous prime is 1124080117. The next prime is 1124080169. The reversal of 1124080128 is 8210804211.

It is a super-2 number, since 2×11240801282 = 2527112268328992768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239251 + ... + 3239597.

It is an arithmetic number, because the mean of its divisors is an integer number (14655498).

Almost surely, 21124080128 is an apocalyptic number.

1124080128 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 1124080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758659760).

1124080128 is an abundant number, since it is smaller than the sum of its proper divisors (2393239392).

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

1124080128 is a wasteful number, since it uses less digits than its factorization.

1124080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1124080128 is about 33527.3042161162. The cubic root of 1124080128 is about 1039.7583659537.

Adding to 1124080128 its reverse (8210804211), we get a palindrome (9334884339).

The spelling of 1124080128 in words is "one billion, one hundred twenty-four million, eighty thousand, one hundred twenty-eight".