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138642608 = 24133731787
BaseRepresentation
bin10000100001110…
…00010010110000
3100122212202220102
420100320102300
5240443030413
621431331532
73302304566
oct1020702260
9318782812
10138642608
1171295275
123a520ba8
1322953560
14145ada36
15c289458
hex84384b0

138642608 has 40 divisors (see below), whose sum is σ = 290221008. Its totient is φ = 63781632.

The previous prime is 138642587. The next prime is 138642617. The reversal of 138642608 is 806246831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76691 + ... + 78477.

Almost surely, 2138642608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138642608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145110504).

138642608 is an abundant number, since it is smaller than the sum of its proper divisors (151578400).

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

138642608 is a wasteful number, since it uses less digits than its factorization.

138642608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 138642608 is about 11774.6595704504. The cubic root of 138642608 is about 517.5658024255.

The spelling of 138642608 in words is "one hundred thirty-eight million, six hundred forty-two thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 373 746 1492 1787 2984 3574 4849 5968 7148 9698 14296 19396 23231 28592 38792 46462 77584 92924 185848 371696 666551 1333102 2666204 5332408 8665163 10664816 17330326 34660652 69321304 138642608