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1138642368 = 26316336383
BaseRepresentation
bin100001111011110…
…0100110111000000
32221100120000200120
41003313210313000
54312443023433
6304553020240
740134205023
oct10367446700
92840500616
101138642368
11534808956
122793b4680
13151b905a6
14ab31b1ba
1569e6a7b3
hex43de4dc0

1138642368 has 56 divisors (see below), whose sum is σ = 3031223808. Its totient is φ = 377208576.

The previous prime is 1138642363. The next prime is 1138642391. The reversal of 1138642368 is 8632468311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138642361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13105 + ... + 49487.

Almost surely, 21138642368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515611904).

1138642368 is an abundant number, since it is smaller than the sum of its proper divisors (1892581440).

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

1138642368 is a wasteful number, since it uses less digits than its factorization.

1138642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36561 (or 36551 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1138642368 is about 33743.7752481847. The cubic root of 1138642368 is about 1044.2290714440.

The spelling of 1138642368 in words is "one billion, one hundred thirty-eight million, six hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3912 5216 7824 10432 15648 31296 36383 72766 109149 145532 218298 291064 436596 582128 873192 1164256 1746384 2328512 3492768 5930429 6985536 11860858 17791287 23721716 35582574 47443432 71165148 94886864 142330296 189773728 284660592 379547456 569321184 1138642368