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138604116 = 223753163191
BaseRepresentation
bin10000100001011…
…10111001010100
3100122210211002210
420100232321110
5240440312431
621430433420
73302054430
oct1020567124
9318724083
10138604116
1171269362
123a502870
132293bb91
141459d9c0
15c27cd46
hex842ee54

138604116 has 96 divisors (see below), whose sum is σ = 380878848. Its totient is φ = 38413440.

The previous prime is 138604091. The next prime is 138604127. The reversal of 138604116 is 611406831.

138604116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1386041162 = 38422201944282912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725581 + ... + 725771.

It is an arithmetic number, because the mean of its divisors is an integer number (3967488).

Almost surely, 2138604116 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 138604116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190439424).

138604116 is an abundant number, since it is smaller than the sum of its proper divisors (242274732).

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

138604116 is a wasteful number, since it uses less digits than its factorization.

138604116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 138604116 is about 11773.0249298980. The cubic root of 138604116 is about 517.5178999153.

The spelling of 138604116 in words is "one hundred thirty-eight million, six hundred four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 163 191 212 318 326 371 382 489 573 636 652 742 764 978 1113 1141 1146 1337 1484 1956 2226 2282 2292 2674 3423 4011 4452 4564 5348 6846 8022 8639 10123 13692 16044 17278 20246 25917 30369 31133 34556 40492 51834 60473 60738 62266 70861 93399 103668 120946 121476 124532 141722 181419 186798 212583 217931 241892 283444 362838 373596 425166 435862 653793 725676 850332 871724 1307586 1650049 2615172 3300098 4950147 6600196 9900294 11550343 19800588 23100686 34651029 46201372 69302058 138604116