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1820418138 = 234711213267
BaseRepresentation
bin110110010000001…
…0110000001011010
311200212102211020000
41230200112001122
512212011340023
6500345513430
763053204340
oct15440260132
94625384200
101820418138
11854640100
124297a2876
132301bb8c6
14133aad990
15a9c3d243
hex6c81605a

1820418138 has 120 divisors (see below), whose sum is σ = 5124526176. Its totient is φ = 472800240.

The previous prime is 1820418121. The next prime is 1820418143. The reversal of 1820418138 is 8318140281.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 130581 + ... + 143847.

Almost surely, 21820418138 is an apocalyptic number.

1820418138 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 1820418138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562263088).

1820418138 is an abundant number, since it is smaller than the sum of its proper divisors (3304108038).

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

1820418138 is a wasteful number, since it uses less digits than its factorization.

1820418138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1820418138 is about 42666.3583869071. The cubic root of 1820418138 is about 1221.0226438459.

The spelling of 1820418138 in words is "one billion, eight hundred twenty million, four hundred eighteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 297 363 378 462 567 594 693 726 847 891 1089 1134 1386 1694 1782 2079 2178 2541 3267 4158 5082 6237 6534 7623 9801 12474 13267 15246 19602 22869 26534 39801 45738 68607 79602 92869 119403 137214 145937 185738 238806 278607 291874 358209 437811 557214 716418 835821 875622 1021559 1074627 1313433 1605307 1671642 2043118 2149254 2507463 2626866 3064677 3210614 3940299 4815921 5014926 6129354 7522389 7880598 9194031 9631842 11237149 11820897 14447763 15044778 18388062 22474298 23641794 27582093 28895526 33711447 43343289 55164186 67422894 82746279 86686578 101134341 130029867 165492558 202268682 260059734 303403023 606806046 910209069 1820418138