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85859620 = 225711127439
BaseRepresentation
bin1010001111000…
…01110100100100
312222120010020221
411013201310210
5133440001440
612304134124
72061536410
oct507416444
9188503227
1085859620
1144513670
1224907344
1314a32512
14b58dd40
15780ed4a
hex51e1d24

85859620 has 96 divisors (see below), whose sum is σ = 227082240. Its totient is φ = 26490240.

The previous prime is 85859603. The next prime is 85859623. The reversal of 85859620 is 2695858.

It is not an unprimeable number, because it can be changed into a prime (85859623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195361 + ... + 195799.

It is an arithmetic number, because the mean of its divisors is an integer number (2365440).

Almost surely, 285859620 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 85859620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113541120).

85859620 is an abundant number, since it is smaller than the sum of its proper divisors (141222620).

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

85859620 is a wasteful number, since it uses less digits than its factorization.

85859620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 85859620 is about 9266.0466219419. The cubic root of 85859620 is about 441.1601956733.

The spelling of 85859620 in words is "eighty-five million, eight hundred fifty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 127 140 154 220 254 308 385 439 508 635 770 878 889 1270 1397 1540 1756 1778 2195 2540 2794 3073 3556 4390 4445 4829 5588 6146 6985 8780 8890 9658 9779 12292 13970 15365 17780 19316 19558 24145 27940 30730 33803 39116 48290 48895 55753 61460 67606 96580 97790 111506 135212 169015 195580 223012 278765 338030 390271 557530 613283 676060 780542 1115060 1226566 1561084 1951355 2453132 3066415 3902710 4292981 6132830 7805420 8585962 12265660 17171924 21464905 42929810 85859620