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138324186 = 23471113853
BaseRepresentation
bin10000011111010…
…10100011011010
3100122021121010000
420033222203122
5240402333221
621420433430
73266510340
oct1017524332
9318247100
10138324186
1171098010
123a3a8876
1322871640
1414529990
15c224e26
hex83ea8da

138324186 has 160 divisors (see below), whose sum is σ = 416642688. Its totient is φ = 33125760.

The previous prime is 138324169. The next prime is 138324187. The reversal of 138324186 is 681423831.

138324186 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138324186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138324187) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161736 + ... + 162588.

Almost surely, 2138324186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138324186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208321344).

138324186 is an abundant number, since it is smaller than the sum of its proper divisors (278318502).

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

138324186 is a wasteful number, since it uses less digits than its factorization.

138324186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138324186 is about 11761.1303028238. The cubic root of 138324186 is about 517.1692656733.

The spelling of 138324186 in words is "one hundred thirty-eight million, three hundred twenty-four thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 273 286 297 351 378 429 462 546 567 594 693 702 819 853 858 891 1001 1053 1134 1287 1386 1638 1706 1782 2002 2079 2106 2457 2559 2574 3003 3861 4158 4914 5118 5971 6006 6237 7371 7677 7722 9009 9383 11089 11583 11942 12474 14742 15354 17913 18018 18766 22178 23031 23166 27027 28149 33267 35826 46062 53739 54054 56298 65681 66534 69093 77623 81081 84447 99801 107478 121979 131362 138186 155246 161217 162162 168894 197043 199602 232869 243958 253341 299403 322434 365937 394086 465738 483651 506682 591129 598806 698607 731874 760023 853853 898209 967302 1097811 1182258 1397214 1520046 1707706 1773387 1796418 2095821 2195622 2561559 3293433 3546774 4191642 5123118 5320161 6287463 6586866 7684677 9880299 10640322 12574926 15369354 19760598 23054031 46108062 69162093 138324186