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81365536 = 2571723929
BaseRepresentation
bin1001101100110…
…00101000100000
312200002210112101
410312120220200
5131312144121
612023540144
72005411210
oct466305040
9180083471
1081365536
1141a2414a
12232ba654
1313b1aab5
14ab40240
157223491
hex4d98a20

81365536 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 31358976.

The previous prime is 81365527. The next prime is 81365539. The reversal of 81365536 is 63556318.

It is a super-3 number, since 3×813655363 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81365495 and 81365504.

It is not an unprimeable number, because it can be changed into a prime (81365539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87120 + ... + 88048.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 281365536 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 81365536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

81365536 is an abundant number, since it is smaller than the sum of its proper divisors (121121504).

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

81365536 is a wasteful number, since it uses less digits than its factorization.

81365536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 81365536 is about 9020.2846961723. The cubic root of 81365536 is about 433.3247514408.

The spelling of 81365536 in words is "eighty-one million, three hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 238 272 322 368 391 476 544 644 736 782 929 952 1288 1564 1858 1904 2576 2737 3128 3716 3808 5152 5474 6256 6503 7432 10948 12512 13006 14864 15793 21367 21896 26012 29728 31586 42734 43792 52024 63172 85468 87584 104048 110551 126344 149569 170936 208096 221102 252688 299138 341872 363239 442204 505376 598276 683744 726478 884408 1196552 1452956 1768816 2393104 2542673 2905912 3537632 4786208 5085346 5811824 10170692 11623648 20341384 40682768 81365536