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60085000 = 235461197
BaseRepresentation
bin1110010100110…
…1001100001000
311012001122010101
43211031030020
5110340210000
65543455144
71326466633
oct345151410
9135048111
1060085000
1130a09828
12181574b4
13c5a9871
147da0c1a
15541ce6a
hex394d308

60085000 has 80 divisors (see below), whose sum is σ = 143813340. Its totient is φ = 23520000.

The previous prime is 60084991. The next prime is 60085009. The reversal of 60085000 is 58006.

It is an interprime number because it is at equal distance from previous prime (60084991) and next prime (60085009).

It can be written as a sum of positive squares in 10 ways, for example, as 4104676 + 55980324 = 2026^2 + 7482^2 .

It is a super-2 number, since 2×600850002 = 7220414450000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60085009) 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 19 ways as a sum of consecutive naturals, for example, 304902 + ... + 305098.

Almost surely, 260085000 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 60085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71906670).

60085000 is an abundant number, since it is smaller than the sum of its proper divisors (83728340).

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

60085000 is a wasteful number, since it uses less digits than its factorization.

60085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 60085000 is about 7751.4514769816. The cubic root of 60085000 is about 391.6715456361.

The spelling of 60085000 in words is "sixty million, eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 197 200 244 250 305 394 488 500 610 625 788 985 1000 1220 1250 1525 1576 1970 2440 2500 3050 3940 4925 5000 6100 7625 7880 9850 12017 12200 15250 19700 24034 24625 30500 38125 39400 48068 49250 60085 61000 76250 96136 98500 120170 123125 152500 197000 240340 246250 300425 305000 480680 492500 600850 985000 1201700 1502125 2403400 3004250 6008500 7510625 12017000 15021250 30042500 60085000