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108519138 = 23271397683
BaseRepresentation
bin1100111011111…
…01111011100010
321120012100021100
412131331323202
5210240103023
614433535230
72455253220
oct635757342
9246170240
10108519138
1156290042
1230414516
1319637310
14105abb10
1597d8c43
hex677dee2

108519138 has 96 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 28283904.

The previous prime is 108519137. The next prime is 108519179. The reversal of 108519138 is 831915801.

108519138 is a `hidden beast` number, since 1 + 0 + 8 + 519 + 138 = 666.

It is not an unprimeable number, because it can be changed into a prime (108519137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158545 + ... + 159227.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2108519138 is an apocalyptic number.

108519138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108519138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

108519138 is an abundant number, since it is smaller than the sum of its proper divisors (184276638).

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

108519138 is a wasteful number, since it uses less digits than its factorization.

108519138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 108519138 is about 10417.2519408911. The cubic root of 108519138 is about 476.9821334763.

The spelling of 108519138 in words is "one hundred eight million, five hundred nineteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 97 117 126 182 194 234 273 291 546 582 679 683 819 873 1261 1358 1366 1638 1746 2037 2049 2522 3783 4074 4098 4781 6111 6147 7566 8827 8879 9562 11349 12222 12294 14343 17654 17758 22698 26481 26637 28686 43029 52962 53274 62153 66251 79443 79911 86058 124306 132502 158886 159822 186459 198753 372918 397506 463757 559377 596259 861263 927514 1118754 1192518 1391271 1722526 2583789 2782542 4173813 5167578 6028841 7751367 8347626 12057682 15502734 18086523 36173046 54259569 108519138