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2085360 = 24358689
BaseRepresentation
bin111111101000111110000
310220221120120
413331013300
51013212420
6112410240
723503524
oct7750760
93827516
102085360
1111a4842
12846980
13580254
143c3d84
152b2d40
hex1fd1f0

2085360 has 40 divisors (see below), whose sum is σ = 6465360. Its totient is φ = 556032.

The previous prime is 2085353. The next prime is 2085367. The reversal of 2085360 is 635802.

It is an interprime number because it is at equal distance from previous prime (2085353) and next prime (2085367).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2085360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4105 + ... + 4584.

It is an arithmetic number, because the mean of its divisors is an integer number (161634).

22085360 is an apocalyptic number.

2085360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085360 is an abundant number, since it is smaller than the sum of its proper divisors (4380000).

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

2085360 is a wasteful number, since it uses less digits than its factorization.

2085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2085360 is about 1444.0775602439. The cubic root of 2085360 is about 127.7596400776.

The spelling of 2085360 in words is "two million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8689 17378 26067 34756 43445 52134 69512 86890 104268 130335 139024 173780 208536 260670 347560 417072 521340 695120 1042680 2085360