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2066820 = 2235721937
BaseRepresentation
bin111111000100110000100
310220000010220
413320212010
51012114240
6112144340
723365500
oct7704604
93800126
102066820
111191918
128380b0
13574992
143bb300
152ac5d0
hex1f8984

2066820 has 144 divisors (see below), whose sum is σ = 7277760. Its totient is φ = 435456.

The previous prime is 2066797. The next prime is 2066833. The reversal of 2066820 is 286602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55842 + ... + 55878.

It is an arithmetic number, because the mean of its divisors is an integer number (50540).

22066820 is an apocalyptic number.

2066820 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 2066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638880).

2066820 is an abundant number, since it is smaller than the sum of its proper divisors (5210940).

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

2066820 is a wasteful number, since it uses less digits than its factorization.

2066820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2066820 is about 1437.6439058404. The cubic root of 2066820 is about 127.3798945852.

The spelling of 2066820 in words is "two million, sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 37 38 42 49 57 60 70 74 76 84 95 98 105 111 114 133 140 147 148 185 190 196 210 222 228 245 259 266 285 294 370 380 399 420 444 490 518 532 555 570 588 665 703 735 740 777 798 931 980 1036 1110 1140 1295 1330 1406 1470 1554 1596 1813 1862 1995 2109 2220 2590 2660 2793 2812 2940 3108 3515 3626 3724 3885 3990 4218 4655 4921 5180 5439 5586 7030 7252 7770 7980 8436 9065 9310 9842 10545 10878 11172 13965 14060 14763 15540 18130 18620 19684 21090 21756 24605 27195 27930 29526 34447 36260 42180 49210 54390 55860 59052 68894 73815 98420 103341 108780 137788 147630 172235 206682 295260 344470 413364 516705 688940 1033410 2066820