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1138006128 = 24373386923
BaseRepresentation
bin100001111010100…
…1001100001110000
32221022100200221010
41003311021201300
54312312144003
6304531230520
740125615060
oct10365114160
92838320833
101138006128
11534413936
12279148440
131519c9b0c
14ab1d33a0
1569d92003
hex43d49870

1138006128 has 40 divisors (see below), whose sum is σ = 3359828608. Its totient is φ = 325144512.

The previous prime is 1138006117. The next prime is 1138006141. The reversal of 1138006128 is 8216008311.

It is a junction number, because it is equal to n+sod(n) for n = 1138006095 and 1138006104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1693126 + ... + 1693797.

Almost surely, 21138006128 is an apocalyptic number.

It is an amenable number.

1138006128 is an abundant number, since it is smaller than the sum of its proper divisors (2221822480).

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

1138006128 is a wasteful number, since it uses less digits than its factorization.

1138006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386941 (or 3386935 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1138006128 is about 33734.3464143001. The cubic root of 1138006128 is about 1044.0345403349.

The spelling of 1138006128 in words is "one billion, one hundred thirty-eight million, six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3386923 6773846 10160769 13547692 20321538 23708461 27095384 40643076 47416922 54190768 71125383 81286152 94833844 142250766 162572304 189667688 284501532 379335376 569003064 1138006128