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81336684 = 2231121331139
BaseRepresentation
bin1001101100100…
…01100101101100
312200001022221210
410312101211230
5131310233214
612023154420
72005231122
oct466214554
9180038853
1081336684
1141a04500
12232a5a10
1313b0a920
14ab33912
157219b59
hex4d9196c

81336684 has 144 divisors (see below), whose sum is σ = 233569280. Its totient is φ = 21859200.

The previous prime is 81336683. The next prime is 81336691. The reversal of 81336684 is 48663318.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (81336683) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 585087 + ... + 585225.

Almost surely, 281336684 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 81336684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116784640).

81336684 is an abundant number, since it is smaller than the sum of its proper divisors (152232596).

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

81336684 is a wasteful number, since it uses less digits than its factorization.

81336684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 81336684 is about 9018.6852700380. The cubic root of 81336684 is about 433.2735267889.

It can be divided in two parts, 813366 and 84, that added together give a triangular number (813450 = T1275).

The spelling of 81336684 in words is "eighty-one million, three hundred thirty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 121 124 132 139 143 156 186 242 278 286 341 363 372 403 417 429 484 556 572 682 726 806 834 858 1023 1209 1364 1452 1529 1573 1612 1668 1716 1807 2046 2418 3058 3146 3614 3751 4092 4309 4433 4587 4719 4836 5421 6116 6292 7228 7502 8618 8866 9174 9438 10842 11253 12927 13299 15004 16819 17236 17732 18348 18876 19877 21684 22506 25854 26598 33638 39754 45012 47399 48763 50457 51708 53196 56017 59631 67276 79508 94798 97526 100914 112034 119262 142197 146289 168051 189596 195052 201828 218647 224068 238524 284394 292578 336102 437294 521389 568788 585156 616187 655941 672204 874588 1042778 1232374 1311882 1564167 1848561 2085556 2464748 2623764 3128334 3697122 6256668 6778057 7394244 13556114 20334171 27112228 40668342 81336684