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2085180 = 2235231511
BaseRepresentation
bin111111101000100111100
310220221022220
413331010330
51013211210
6112405340
723503146
oct7750474
93827286
102085180
1111a4699
12846850
13580146
143c3c96
152b2c70
hex1fd13c

2085180 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 531520.

The previous prime is 2085151. The next prime is 2085191. The reversal of 2085180 is 815802.

It is a self number, because there is not a number n which added to its sum of digits gives 2085180.

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, 625 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22085180 is an apocalyptic number.

2085180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2085180 is an abundant number, since it is smaller than the sum of its proper divisors (4011204).

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

2085180 is a wasteful number, since it uses less digits than its factorization.

2085180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2085180 is about 1444.0152353767. The cubic root of 2085180 is about 127.7559640701.

The spelling of 2085180 in words is "two million, eighty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1511 3022 4533 6044 7555 9066 15110 18132 22665 30220 34753 45330 69506 90660 104259 139012 173765 208518 347530 417036 521295 695060 1042590 2085180