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318687138 = 232711220903
BaseRepresentation
bin10010111111101…
…100011110100010
3211012122222120100
4102333230132202
51123040442023
651342323230
710616540010
oct2277543642
9735588510
10318687138
11153988400
128a889516
1351041793
14304798b0
151cea0c43
hex12fec7a2

318687138 has 72 divisors (see below), whose sum is σ = 867432384. Its totient is φ = 82771920.

The previous prime is 318687113. The next prime is 318687139. The reversal of 318687138 is 831786813.

It is a super-2 number, since 2×3186871382 = 203122983853262088, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 318687093 and 318687102.

It is not an unprimeable number, because it can be changed into a prime (318687139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4795 + ... + 25697.

It is an arithmetic number, because the mean of its divisors is an integer number (12047672).

Almost surely, 2318687138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318687138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433716192).

318687138 is an abundant number, since it is smaller than the sum of its proper divisors (548745246).

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

318687138 is a wasteful number, since it uses less digits than its factorization.

318687138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20940 (or 20926 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 318687138 is about 17851.8104964174. The cubic root of 318687138 is about 683.0536955085.

The spelling of 318687138 in words is "three hundred eighteen million, six hundred eighty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 20903 41806 62709 125418 146321 188127 229933 292642 376254 438963 459866 689799 877926 1316889 1379598 1609531 2069397 2529263 2633778 3219062 4138794 4828593 5058526 7587789 9657186 14485779 15175578 17704841 22763367 28971558 35409682 45526734 53114523 106229046 159343569 318687138