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138806127 = 32233197223
BaseRepresentation
bin10000100011000…
…00001101101111
3100200012002012200
420101200031233
5241013244002
621435032543
73303555405
oct1021401557
9320162180
10138806127
1171397109
123a59b753
13229acb05
1414613475
15c2bcb1c
hex846036f

138806127 has 48 divisors (see below), whose sum is σ = 219168768. Its totient is φ = 84395520.

The previous prime is 138806117. The next prime is 138806147. The reversal of 138806127 is 721608831.

138806127 is a `hidden beast` number, since 1 + 38 + 8 + 0 + 612 + 7 = 666.

It is not a de Polignac number, because 138806127 - 28 = 138805871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138806091 and 138806100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138806117) 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, 622338 + ... + 622560.

It is an arithmetic number, because the mean of its divisors is an integer number (4566016).

Almost surely, 2138806127 is an apocalyptic number.

138806127 is a deficient number, since it is larger than the sum of its proper divisors (80362641).

138806127 is a wasteful number, since it uses less digits than its factorization.

138806127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 138806127 is about 11781.6012069667. The cubic root of 138806127 is about 517.7691997146.

The spelling of 138806127 in words is "one hundred thirty-eight million, eight hundred six thousand, one hundred twenty-seven".

Divisors: 1 3 9 23 31 69 93 97 207 223 279 291 669 713 873 2007 2139 2231 3007 5129 6417 6693 6913 9021 15387 20079 20739 21631 27063 46161 62217 64893 69161 158999 194679 207483 476997 497513 622449 670561 1430991 1492539 2011683 4477617 6035049 15422903 46268709 138806127