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138003872 = 257359077
BaseRepresentation
bin10000011100111…
…00010110100000
3100121200022201112
420032130112200
5240312110442
621405522452
73264004436
oct1016342640
9317608645
10138003872
1170999396
123a273428
132278b8c6
1414484d56
15c1b0082
hex839c5a0

138003872 has 24 divisors (see below), whose sum is σ = 275421636. Its totient is φ = 68055552.

The previous prime is 138003871. The next prime is 138003881. The reversal of 138003872 is 278300831.

138003872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 135582736 + 2421136 = 11644^2 + 1556^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (138003871) 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 3 ways as a sum of consecutive naturals, for example, 27203 + ... + 31874.

Almost surely, 2138003872 is an apocalyptic number.

It is an amenable number.

138003872 is a deficient number, since it is larger than the sum of its proper divisors (137417764).

138003872 is an equidigital number, since it uses as much as digits as its factorization.

138003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59160 (or 59152 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 138003872 is about 11747.5049265791. The cubic root of 138003872 is about 516.7697583163.

The spelling of 138003872 in words is "one hundred thirty-eight million, three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 73 146 292 584 1168 2336 59077 118154 236308 472616 945232 1890464 4312621 8625242 17250484 34500968 69001936 138003872