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2085300 = 2232527331
BaseRepresentation
bin111111101000110110100
310220221111100
413331012310
51013212200
6112410100
723503410
oct7750664
93827440
102085300
1111a4798
12846930
13580209
143c3d40
152b2d00
hex1fd1b4

2085300 has 108 divisors (see below), whose sum is σ = 7492576. Its totient is φ = 475200.

The previous prime is 2085299. The next prime is 2085311. The reversal of 2085300 is 35802.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 6135 + ... + 6465.

22085300 is an apocalyptic number.

2085300 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 2085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746288).

2085300 is an abundant number, since it is smaller than the sum of its proper divisors (5407276).

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

2085300 is a wasteful number, since it uses less digits than its factorization.

2085300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2085300 is about 1444.0567855870. The cubic root of 2085300 is about 127.7584147653.

The spelling of 2085300 in words is "two million, eighty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 331 350 420 450 525 630 662 700 900 993 1050 1260 1324 1575 1655 1986 2100 2317 2979 3150 3310 3972 4634 4965 5958 6300 6620 6951 8275 9268 9930 11585 11916 13902 14895 16550 19860 20853 23170 24825 27804 29790 33100 34755 41706 46340 49650 57925 59580 69510 74475 83412 99300 104265 115850 139020 148950 173775 208530 231700 297900 347550 417060 521325 695100 1042650 2085300