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85508360 = 23571916073
BaseRepresentation
bin1010001100011…
…00000100001000
312221220021102022
411012030010020
5133342231420
612252424012
72055544340
oct506140410
9187807368
1085508360
11442a3773
1224778008
131493b682
14b4dbd20
157790c25
hex518c108

85508360 has 64 divisors (see below), whose sum is σ = 231465600. Its totient is φ = 27772416.

The previous prime is 85508347. The next prime is 85508387. The reversal of 85508360 is 6380558.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85508360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717 + ... + 13356.

It is an arithmetic number, because the mean of its divisors is an integer number (3616650).

Almost surely, 285508360 is an apocalyptic number.

It is an amenable number.

85508360 is an abundant number, since it is smaller than the sum of its proper divisors (145957240).

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

85508360 is a wasteful number, since it uses less digits than its factorization.

85508360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16110 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 85508360 is about 9247.0730504306. The cubic root of 85508360 is about 440.5577637293.

The spelling of 85508360 in words is "eighty-five million, five hundred eight thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 16073 32146 64292 80365 112511 128584 160730 225022 305387 321460 450044 562555 610774 642920 900088 1125110 1221548 1526935 2137709 2250220 2443096 3053870 4275418 4500440 6107740 8550836 10688545 12215480 17101672 21377090 42754180 85508360