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1138027104 = 25331317161
BaseRepresentation
bin100001111010100…
…1110101001100000
32221022101202201000
41003311032221200
54312313331404
6304531512000
740126033164
oct10365165140
92838352630
101138027104
11534428675
12279158600
13151a06526
14ab1daca4
1569d98339
hex43d4ea60

1138027104 has 48 divisors (see below), whose sum is σ = 3319248240. Its totient is φ = 379342080.

The previous prime is 1138027067. The next prime is 1138027127. The reversal of 1138027104 is 4017208311.

1138027104 is a `hidden beast` number, since 11 + 380 + 271 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657717 + ... + 659444.

It is an arithmetic number, because the mean of its divisors is an integer number (69151005).

Almost surely, 21138027104 is an apocalyptic number.

It is an amenable number.

1138027104 is an abundant number, since it is smaller than the sum of its proper divisors (2181221136).

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

1138027104 is a wasteful number, since it uses less digits than its factorization.

1138027104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317180 (or 1317166 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1138027104 is about 33734.6573126214. The cubic root of 1138027104 is about 1044.0409549266.

The spelling of 1138027104 in words is "one billion, one hundred thirty-eight million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1317161 2634322 3951483 5268644 7902966 10537288 11854449 15805932 21074576 23708898 31611864 35563347 42149152 47417796 63223728 71126694 94835592 126447456 142253388 189671184 284506776 379342368 569013552 1138027104