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85718300 = 22527112073
BaseRepresentation
bin1010001101111…
…11010100011100
312222021221101212
411012333110130
5133420441200
612301123552
72060410403
oct506772434
9188257355
1085718300
1144427478
12248595b8
13149b30b5
14b55463a
1577d3035
hex51bf51c

85718300 has 36 divisors (see below), whose sum is σ = 188644176. Its totient is φ = 33801600.

The previous prime is 85718293. The next prime is 85718323. The reversal of 85718300 is 381758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1064 + ... + 13136.

It is an arithmetic number, because the mean of its divisors is an integer number (5240116).

Almost surely, 285718300 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 85718300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94322088).

85718300 is an abundant number, since it is smaller than the sum of its proper divisors (102925876).

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

85718300 is a wasteful number, since it uses less digits than its factorization.

85718300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12158 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 85718300 is about 9258.4177913939. The cubic root of 85718300 is about 440.9180213137.

The spelling of 85718300 in words is "eighty-five million, seven hundred eighteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 12073 24146 48292 60365 120730 241460 301825 603650 857183 1207300 1714366 3428732 4285915 8571830 17143660 21429575 42859150 85718300