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1140568128 = 2635710477
BaseRepresentation
bin100001111111011…
…1011000001000000
32221111011212100000
41003332323001000
54313441140003
6305102200000
740156445340
oct10376730100
92844155300
101140568128
11535903797
12279b83000
131523b5cab
14ab69cd20
156a1eb1a3
hex43fbb040

1140568128 has 168 divisors, whose sum is σ = 3875015872. Its totient is φ = 325845504.

The previous prime is 1140568127. The next prime is 1140568147. The reversal of 1140568128 is 8218650411.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 1140568092 and 1140568101.

It is not an unprimeable number, because it can be changed into a prime (1140568127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103626 + ... + 114102.

Almost surely, 21140568128 is an apocalyptic number.

1140568128 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 1140568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937507936).

1140568128 is an abundant number, since it is smaller than the sum of its proper divisors (2734447744).

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

1140568128 is an equidigital number, since it uses as much as digits as its factorization.

1140568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1140568128 is about 33772.2982339076. The cubic root of 1140568128 is about 1044.8174335187.

The spelling of 1140568128 in words is "one billion, one hundred forty million, five hundred sixty-eight thousand, one hundred twenty-eight".