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86539320 = 23335711447
BaseRepresentation
bin1010010100001…
…11110000111000
320000211122122000
411022013300320
5134123224240
612330501000
72100400140
oct512076070
9200748560
1086539320
11449382aa
1224b94760
1314c0c9ca
14b6c9920
1578e6430
hex5287c38

86539320 has 128 divisors (see below), whose sum is σ = 329702400. Its totient is φ = 19778688.

The previous prime is 86539279. The next prime is 86539339. The reversal of 86539320 is 2393568.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837 + ... + 13283.

It is an arithmetic number, because the mean of its divisors is an integer number (2575800).

Almost surely, 286539320 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 86539320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164851200).

86539320 is an abundant number, since it is smaller than the sum of its proper divisors (243163080).

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

86539320 is a wasteful number, since it uses less digits than its factorization.

86539320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 86539320 is about 9302.6512349975. The cubic root of 86539320 is about 442.3212722620.

The spelling of 86539320 in words is "eighty-six million, five hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 11447 22894 34341 45788 57235 68682 80129 91576 103023 114470 137364 160258 171705 206046 228940 240387 274728 309069 320516 343410 400645 412092 457880 480774 515115 618138 641032 686820 721161 801290 824184 961548 1030230 1201935 1236276 1373640 1442322 1545345 1602580 1923096 2060460 2163483 2403870 2472552 2884644 3090690 3205160 3605805 4120920 4326966 4807740 5769288 6181380 7211610 8653932 9615480 10817415 12362760 14423220 17307864 21634830 28846440 43269660 86539320