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81836760 = 233523149199
BaseRepresentation
bin1001110000010…
…11101011011000
312200222201221010
410320023223120
5131422234020
612042013520
72012413065
oct470135330
9180881833
1081836760
1142216195
12234a72a0
1313c54425
14ac23c6c
1572b7de0
hex4e0bad8

81836760 has 128 divisors (see below), whose sum is σ = 259200000. Its totient is φ = 20630016.

The previous prime is 81836731. The next prime is 81836773. The reversal of 81836760 is 6763818.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411141 + ... + 411339.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 281836760 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 81836760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600000).

81836760 is an abundant number, since it is smaller than the sum of its proper divisors (177363240).

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

81836760 is a wasteful number, since it uses less digits than its factorization.

81836760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 81836760 is about 9046.3672266828. The cubic root of 81836760 is about 434.1596671609.

The spelling of 81836760 in words is "eighty-one million, eight hundred thirty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 149 184 199 230 276 298 345 398 447 460 552 596 597 690 745 796 894 920 995 1192 1194 1380 1490 1592 1788 1990 2235 2388 2760 2980 2985 3427 3576 3980 4470 4577 4776 5960 5970 6854 7960 8940 9154 10281 11940 13708 13731 17135 17880 18308 20562 22885 23880 27416 27462 29651 34270 36616 41124 45770 51405 54924 59302 68540 68655 82248 88953 91540 102810 109848 118604 137080 137310 148255 177906 183080 205620 237208 274620 296510 355812 411240 444765 549240 593020 681973 711624 889530 1186040 1363946 1779060 2045919 2727892 3409865 3558120 4091838 5455784 6819730 8183676 10229595 13639460 16367352 20459190 27278920 40918380 81836760