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86061360 = 24357114657
BaseRepresentation
bin1010010000100…
…11000100110000
312222221100222210
411020103010300
5134012430420
612312332120
72063336520
oct510230460
9188840883
1086061360
11446411a0
12249a4040
1314aa32a8
14b603680
15784e9e0
hex5213130

86061360 has 160 divisors (see below), whose sum is σ = 332692992. Its totient is φ = 17879040.

The previous prime is 86061359. The next prime is 86061373. The reversal of 86061360 is 6316068.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16152 + ... + 20808.

Almost surely, 286061360 is an apocalyptic number.

86061360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86061360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166346496).

86061360 is an abundant number, since it is smaller than the sum of its proper divisors (246631632).

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

86061360 is a wasteful number, since it uses less digits than its factorization.

86061360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 86061360 is about 9276.9262150779. The cubic root of 86061360 is about 441.5054493277.

The spelling of 86061360 in words is "eighty-six million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 4657 6160 9240 9314 13971 18480 18628 23285 27942 32599 37256 46570 51227 55884 65198 69855 74512 93140 97797 102454 111768 130396 139710 153681 162995 186280 195594 204908 223536 256135 260792 279420 307362 325990 358589 372560 391188 409816 488985 512270 521584 558840 614724 651980 717178 768405 782376 819632 977970 1024540 1075767 1117680 1229448 1303960 1434356 1536810 1564752 1792945 1955940 2049080 2151534 2458896 2607920 2868712 3073620 3585890 3911880 4098160 4303068 5378835 5737424 6147240 7171780 7823760 8606136 10757670 12294480 14343560 17212272 21515340 28687120 43030680 86061360