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2083860 = 2233517227
BaseRepresentation
bin111111100110000010100
310220212112000
413330300110
51013140420
6112355300
723466252
oct7746024
93825460
102083860
1111a36a9
12845b30
1357c66c
143c35d2
152b2690
hex1fcc14

2083860 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 520704.

The previous prime is 2083859. The next prime is 2083867. The reversal of 2083860 is 683802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083867) 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 31 ways as a sum of consecutive naturals, for example, 9067 + ... + 9293.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22083860 is an apocalyptic number.

2083860 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 2083860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2083860 is an abundant number, since it is smaller than the sum of its proper divisors (4810860).

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

2083860 is a wasteful number, since it uses less digits than its factorization.

2083860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2083860 is about 1443.5581041302. The cubic root of 2083860 is about 127.7290002157.

The spelling of 2083860 in words is "two million, eighty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 227 255 270 306 340 454 459 510 540 612 681 765 908 918 1020 1135 1362 1530 1836 2043 2270 2295 2724 3060 3405 3859 4086 4540 4590 6129 6810 7718 8172 9180 10215 11577 12258 13620 15436 19295 20430 23154 24516 30645 34731 38590 40860 46308 57885 61290 69462 77180 104193 115770 122580 138924 173655 208386 231540 347310 416772 520965 694620 1041930 2083860