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81310086 = 2321113311019
BaseRepresentation
bin1001101100010…
…11000110000110
312122222222110200
410312023012012
5131303410321
612022431330
72005060434
oct466130606
9178888420
1081310086
1141996520
1223292546
1313acb7a0
14ab27d54
157211d26
hex4d8b186

81310086 has 96 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 21988800.

The previous prime is 81310079. The next prime is 81310121. The reversal of 81310086 is 68001318.

It is a super-2 number, since 2×813100862 = 13222660170654792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79285 + ... + 80303.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 281310086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81310086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

81310086 is an abundant number, since it is smaller than the sum of its proper divisors (132547194).

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

81310086 is a wasteful number, since it uses less digits than its factorization.

81310086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

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

The square root of 81310086 is about 9017.2105442870. The cubic root of 81310086 is about 433.2262932197.

It can be divided in two parts, 813 and 10086, that multiplied together give a palindrome (8199918).

The spelling of 81310086 in words is "eighty-one million, three hundred ten thousand, eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 62 66 78 93 99 117 143 186 198 234 279 286 341 403 429 558 682 806 858 1019 1023 1209 1287 2038 2046 2418 2574 3057 3069 3627 4433 6114 6138 7254 8866 9171 11209 13247 13299 18342 22418 26494 26598 31589 33627 39741 39897 63178 67254 79482 79794 94767 100881 119223 145717 189534 201762 238446 284301 291434 347479 410657 437151 568602 694958 821314 874302 1042437 1231971 1311453 2084874 2463942 2622906 3127311 3695913 4517227 6254622 7391826 9034454 13551681 27103362 40655043 81310086