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138011832 = 23327239119
BaseRepresentation
bin10000011100111…
…10010010111000
3100121200201122100
420032132102320
5240312334312
621410023400
73264036600
oct1016362270
9317621570
10138011832
11709a4372
123a277b60
132279240a
1414487c00
15c1b25dc
hex839e4b8

138011832 has 72 divisors (see below), whose sum is σ = 434818800. Its totient is φ = 39430944.

The previous prime is 138011821. The next prime is 138011843. The reversal of 138011832 is 238110831.

It is an interprime number because it is at equal distance from previous prime (138011821) and next prime (138011843).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 138011796 and 138011805.

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 17 ways as a sum of consecutive naturals, for example, 16032 + ... + 23087.

It is an arithmetic number, because the mean of its divisors is an integer number (6039150).

Almost surely, 2138011832 is an apocalyptic number.

138011832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138011832 is an abundant number, since it is smaller than the sum of its proper divisors (296806968).

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

138011832 is a wasteful number, since it uses less digits than its factorization.

138011832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39145 (or 39131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138011832 is about 11747.8437170402. The cubic root of 138011832 is about 516.7796938061.

The spelling of 138011832 in words is "one hundred thirty-eight million, eleven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 39119 78238 117357 156476 234714 273833 312952 352071 469428 547666 704142 821499 938856 1095332 1408284 1642998 1916831 2190664 2464497 2816568 3285996 3833662 4928994 5750493 6571992 7667324 9857988 11500986 15334648 17251479 19715976 23001972 34502958 46003944 69005916 138011832