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81810036 = 223271122683
BaseRepresentation
bin1001110000001…
…01001001110100
312200221101021100
410320011021310
5131420410121
612041250100
72012242140
oct470051164
9180841240
1081810036
11421a8100
1223493930
1313c45209
14ac18220
1572b0026
hex4e05274

81810036 has 108 divisors (see below), whose sum is σ = 259875616. Its totient is φ = 21241440.

The previous prime is 81810019. The next prime is 81810041. The reversal of 81810036 is 63001818.

It is a junction number, because it is equal to n+sod(n) for n = 81809991 and 81810009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29151 + ... + 31833.

Almost surely, 281810036 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 81810036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129937808).

81810036 is an abundant number, since it is smaller than the sum of its proper divisors (178065580).

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

81810036 is a wasteful number, since it uses less digits than its factorization.

81810036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 81810036 is about 9044.8900490830. The cubic root of 81810036 is about 434.1124033717.

The spelling of 81810036 in words is "eighty-one million, eight hundred ten thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2683 2772 3388 4356 5082 5366 7623 8049 10164 10732 15246 16098 18781 24147 29513 30492 32196 37562 48294 56343 59026 75124 88539 96588 112686 118052 169029 177078 206591 225372 265617 324643 338058 354156 413182 531234 619773 649286 676116 826364 973929 1062468 1239546 1298572 1859319 1947858 2272501 2479092 2921787 3718638 3895716 4545002 5843574 6817503 7437276 9090004 11687148 13635006 20452509 27270012 40905018 81810036