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138756903 = 3131443797
BaseRepresentation
bin10000100010101…
…00001100100111
3100200002120200120
420101110030213
5241010210103
621434013023
73303262035
oct1021241447
9320076616
10138756903
117136312a
123a577173
132299359c
14145dd555
15c2ad253
hex8454327

138756903 has 16 divisors (see below), whose sum is σ = 187076736. Its totient is φ = 91476320.

The previous prime is 138756901. The next prime is 138756913. The reversal of 138756903 is 309657831.

It is a cyclic number.

It is not a de Polignac number, because 138756903 - 21 = 138756901 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138756901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173701 + ... + 174497.

It is an arithmetic number, because the mean of its divisors is an integer number (11692296).

Almost surely, 2138756903 is an apocalyptic number.

138756903 is a deficient number, since it is larger than the sum of its proper divisors (48319833).

138756903 is a wasteful number, since it uses less digits than its factorization.

138756903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 138756903 is about 11779.5120017766. The cubic root of 138756903 is about 517.7079879968.

The spelling of 138756903 in words is "one hundred thirty-eight million, seven hundred fifty-six thousand, nine hundred three".

Divisors: 1 3 131 393 443 797 1329 2391 58033 104407 174099 313221 353071 1059213 46252301 138756903