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86025060 = 2232511231889
BaseRepresentation
bin1010010000010…
…10001101100100
312222212112012100
411020022031210
5134010300220
612311452100
72063125632
oct510121544
9188775170
1086025060
11446169a0
1224987030
1314a8c904
14b5d4352
157843d90
hex520a364

86025060 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 19937280.

The previous prime is 86025053. The next prime is 86025061. The reversal of 86025060 is 6052068.

86025060 is a `hidden beast` number, since 8 + 602 + 50 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (86025061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44596 + ... + 46484.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 286025060 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 86025060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

86025060 is an abundant number, since it is smaller than the sum of its proper divisors (211173660).

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

86025060 is a wasteful number, since it uses less digits than its factorization.

86025060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 86025060 is about 9274.9695417290. The cubic root of 86025060 is about 441.4433660976.

The spelling of 86025060 in words is "eighty-six million, twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1889 1980 2070 2277 2530 3036 3778 3795 4140 4554 5060 5667 7556 7590 9108 9445 11334 11385 15180 17001 18890 20779 22668 22770 28335 34002 37780 41558 43447 45540 56670 62337 68004 83116 85005 86894 103895 113340 124674 130341 170010 173788 187011 207790 217235 249348 260682 311685 340020 374022 391023 415580 434470 477917 521364 623370 651705 748044 782046 868940 935055 955834 1246740 1303410 1433751 1564092 1870110 1911668 1955115 2389585 2606820 2867502 3740220 3910230 4301253 4779170 5735004 7168755 7820460 8602506 9558340 14337510 17205012 21506265 28675020 43012530 86025060