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138036349 = 1119683967
BaseRepresentation
bin10000011101001…
…00010001111101
3100121201222021101
420032210101331
5240314130344
621410333101
73264201223
oct1016442175
9317658241
10138036349
1170a10830
123a28a191
13227a0619
1414492b13
15c1b99d4
hex83a447d

138036349 has 16 divisors (see below), whose sum is σ = 158906880. Its totient is φ = 118586160.

The previous prime is 138036347. The next prime is 138036359. The reversal of 138036349 is 943630831.

It is not a de Polignac number, because 138036349 - 21 = 138036347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138036343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 142264 + ... + 143230.

It is an arithmetic number, because the mean of its divisors is an integer number (9931680).

Almost surely, 2138036349 is an apocalyptic number.

138036349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

138036349 is a deficient number, since it is larger than the sum of its proper divisors (20870531).

138036349 is a wasteful number, since it uses less digits than its factorization.

138036349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 138036349 is about 11748.8871387889. The cubic root of 138036349 is about 516.8102929641.

The spelling of 138036349 in words is "one hundred thirty-eight million, thirty-six thousand, three hundred forty-nine".

Divisors: 1 11 19 209 683 967 7513 10637 12977 18373 142747 202103 660461 7265071 12548759 138036349