Search a number
-
+
85863240 = 2334526501
BaseRepresentation
bin1010001111000…
…10101101001000
312222120022020000
411013202231020
5133440110430
612304203000
72061553101
oct507425510
9188508200
1085863240
1144516361
1224909460
1314a34068
14b5913a8
157810e60
hex51e2b48

85863240 has 80 divisors (see below), whose sum is σ = 288606780. Its totient is φ = 22896000.

The previous prime is 85863227. The next prime is 85863241. The reversal of 85863240 is 4236858.

85863240 is a `hidden beast` number, since 8 + 586 + 32 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83942244 + 1920996 = 9162^2 + 1386^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 85863195 and 85863204.

It is not an unprimeable number, because it can be changed into a prime (85863241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10011 + ... + 16490.

Almost surely, 285863240 is an apocalyptic number.

It is an amenable number.

85863240 is an abundant number, since it is smaller than the sum of its proper divisors (202743540).

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

85863240 is a wasteful number, since it uses less digits than its factorization.

85863240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26524 (or 26511 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85863240 is about 9266.2419566942. The cubic root of 85863240 is about 441.1663956287.

The spelling of 85863240 in words is "eighty-five million, eight hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 26501 53002 79503 106004 132505 159006 212008 238509 265010 318012 397515 477018 530020 636024 715527 795030 954036 1060040 1192545 1431054 1590060 1908072 2146581 2385090 2862108 3180120 3577635 4293162 4770180 5724216 7155270 8586324 9540360 10732905 14310540 17172648 21465810 28621080 42931620 85863240