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86281260 = 223513267127
BaseRepresentation
bin1010010010010…
…00110000101100
320000100112122020
411021020300230
5134042000020
612321150140
72065243602
oct511106054
9200315566
1086281260
114478142a
1224a8b350
1314b4c400
14b65d872
157894c40
hex5248c2c

86281260 has 144 divisors (see below), whose sum is σ = 267595776. Its totient is φ = 20756736.

The previous prime is 86281253. The next prime is 86281271. The reversal of 86281260 is 6218268.

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, 679317 + ... + 679443.

It is an arithmetic number, because the mean of its divisors is an integer number (1858304).

Almost surely, 286281260 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 86281260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133797888).

86281260 is an abundant number, since it is smaller than the sum of its proper divisors (181314516).

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

86281260 is a wasteful number, since it uses less digits than its factorization.

86281260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 86281260 is about 9288.7706398640. The cubic root of 86281260 is about 441.8811675932.

The spelling of 86281260 in words is "eighty-six million, two hundred eighty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 127 130 134 156 169 195 201 254 260 268 335 338 381 390 402 507 508 635 670 676 762 780 804 845 871 1005 1014 1270 1340 1524 1651 1690 1742 1905 2010 2028 2535 2540 2613 3302 3380 3484 3810 4020 4355 4953 5070 5226 6604 7620 8255 8509 8710 9906 10140 10452 11323 13065 16510 17018 17420 19812 21463 22646 24765 25527 26130 33020 33969 34036 42545 42926 45292 49530 51054 52260 56615 64389 67938 85090 85852 99060 102108 107315 110617 113230 127635 128778 135876 169845 170180 214630 221234 226460 255270 257556 321945 331851 339690 429260 442468 510540 553085 643890 663702 679380 1106170 1287780 1327404 1438021 1659255 2212340 2876042 3318510 4314063 5752084 6637020 7190105 8628126 14380210 17256252 21570315 28760420 43140630 86281260