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1128734640 = 2432511532689
BaseRepresentation
bin100001101000111…
…0001111110110000
32220122220122211200
41003101301332300
54302424002030
6304000411200
736654041355
oct10321617660
92818818750
101128734640
1152a161050
12276016b00
1314cb01a27
14a9c9c62c
156915ed60
hex43471fb0

1128734640 has 240 divisors, whose sum is σ = 4214864160. Its totient is φ = 268369920.

The previous prime is 1128734623. The next prime is 1128734647. The reversal of 1128734640 is 464378211.

1128734640 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 3 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1128734595 and 1128734604.

It is not an unprimeable number, because it can be changed into a prime (1128734647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418416 + ... + 421104.

It is an arithmetic number, because the mean of its divisors is an integer number (17561934).

Almost surely, 21128734640 is an apocalyptic number.

1128734640 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 1128734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107432080).

1128734640 is an abundant number, since it is smaller than the sum of its proper divisors (3086129520).

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

1128734640 is a wasteful number, since it uses less digits than its factorization.

1128734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1128734640 is about 33596.6462611970. The cubic root of 1128734640 is about 1041.1915091417.

The spelling of 1128734640 in words is "one billion, one hundred twenty-eight million, seven hundred thirty-four thousand, six hundred forty".