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138037746 = 23711509587
BaseRepresentation
bin10000011101001…
…00100111110010
3100121202001012010
420032210213302
5240314201441
621410343350
73264205260
oct1016444762
9317661163
10138037746
1170a11890
123a28ab56
13227a1152
1414493430
15c1ba116
hex83a49f2

138037746 has 64 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 35722560.

The previous prime is 138037733. The next prime is 138037751. The reversal of 138037746 is 647730831.

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 31 ways as a sum of consecutive naturals, for example, 234865 + ... + 235451.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2138037746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138037746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

138037746 is an abundant number, since it is smaller than the sum of its proper divisors (207424014).

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

138037746 is a wasteful number, since it uses less digits than its factorization.

138037746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 138037746 is about 11748.9465910779. The cubic root of 138037746 is about 516.8120364217.

The spelling of 138037746 in words is "one hundred thirty-eight million, thirty-seven thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 509 587 1018 1174 1527 1761 3054 3522 3563 4109 5599 6457 7126 8218 10689 11198 12327 12914 16797 19371 21378 24654 33594 38742 39193 45199 78386 90398 117579 135597 235158 271194 298783 597566 896349 1792698 2091481 3286613 4182962 6274443 6573226 9859839 12548886 19719678 23006291 46012582 69018873 138037746