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85594240 = 275197039
BaseRepresentation
bin1010001101000…
…01000010000000
312222001122020001
411012201002000
5133403003430
612254325344
72056352614
oct506410200
9188048201
1085594240
1144352246
12247b9854
131496b7a4
14b521344
1577ab3ca
hex51a1080

85594240 has 64 divisors (see below), whose sum is σ = 215424000. Its totient is φ = 32431104.

The previous prime is 85594211. The next prime is 85594253. The reversal of 85594240 is 4249558.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 85594240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8641 + ... + 15679.

It is an arithmetic number, because the mean of its divisors is an integer number (3366000).

Almost surely, 285594240 is an apocalyptic number.

85594240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712000).

85594240 is an abundant number, since it is smaller than the sum of its proper divisors (129829760).

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

85594240 is a wasteful number, since it uses less digits than its factorization.

85594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 85594240 is about 9251.7155165947. The cubic root of 85594240 is about 440.7052052243.

The spelling of 85594240 in words is "eighty-five million, five hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 7039 12160 14078 28156 35195 56312 70390 112624 133741 140780 225248 267482 281560 450496 534964 563120 668705 900992 1069928 1126240 1337410 2139856 2252480 2674820 4279712 4504960 5349640 8559424 10699280 17118848 21398560 42797120 85594240