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85003000 = 2353167509
BaseRepresentation
bin1010001000100…
…00101011111000
312220221121012021
411010100223320
5133230044000
612233524224
72051341105
oct504205370
9186847167
1085003000
1143a89015
1224573674
13147c2644
14b409aac
1576e111a
hex5110af8

85003000 has 64 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 33731200.

The previous prime is 85002997. The next prime is 85003001. The reversal of 85003000 is 30058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166746 + ... + 167254.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 285003000 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 85003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

85003000 is an abundant number, since it is smaller than the sum of its proper divisors (115488200).

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

85003000 is a wasteful number, since it uses less digits than its factorization.

85003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 85003000 is about 9219.7071537007. The cubic root of 85003000 is about 439.6881398958.

Adding to 85003000 its reverse (30058), we get a palindrome (85033058).

The spelling of 85003000 in words is "eighty-five million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 250 334 500 509 668 835 1000 1018 1336 1670 2036 2545 3340 4072 4175 5090 6680 8350 10180 12725 16700 20360 20875 25450 33400 41750 50900 63625 83500 85003 101800 127250 167000 170006 254500 340012 425015 509000 680024 850030 1700060 2125075 3400120 4250150 8500300 10625375 17000600 21250750 42501500 85003000