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6085360 = 245294361
BaseRepresentation
bin10111001101101011110000
3102110011112201
4113031223300
53024212420
6334232544
7102503401
oct27155360
912404481
106085360
113487026
122055754
131350b08
14b459a8
1580310a
hex5cdaf0

6085360 has 80 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 2257920.

The previous prime is 6085357. The next prime is 6085397. The reversal of 6085360 is 635806.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99730 + ... + 99790.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 26085360 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 6085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

6085360 is an abundant number, since it is smaller than the sum of its proper divisors (9136880).

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

6085360 is a wasteful number, since it uses less digits than its factorization.

6085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6085360 is about 2466.8522452713. The cubic root of 6085360 is about 182.5697237810.

It can be divided in two parts, 60 and 85360, that multiplied together give a triangular number (5121600 = T3200).

The spelling of 6085360 in words is "six million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 61 80 86 116 122 145 172 215 232 244 290 305 344 430 464 488 580 610 688 860 976 1160 1220 1247 1720 1769 2320 2440 2494 2623 3440 3538 4880 4988 5246 6235 7076 8845 9976 10492 12470 13115 14152 17690 19952 20984 24940 26230 28304 35380 41968 49880 52460 70760 76067 99760 104920 141520 152134 209840 304268 380335 608536 760670 1217072 1521340 3042680 6085360