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2820300 = 2235271779
BaseRepresentation
bin1010110000100011001100
312022021201120
422300203030
51210222200
6140240540
732654310
oct12604314
95267646
102820300
111656a2a
12b40150
13779922
14535b40
153aa9a0
hex2b08cc

2820300 has 144 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 599040.

The previous prime is 2820271. The next prime is 2820313. The reversal of 2820300 is 30282.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2820300.

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, 35661 + ... + 35739.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

22820300 is an apocalyptic number.

2820300 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 2820300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

2820300 is an abundant number, since it is smaller than the sum of its proper divisors (7179060).

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

2820300 is a wasteful number, since it uses less digits than its factorization.

2820300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2820300 is about 1679.3748836993. The cubic root of 2820300 is about 141.2857742160.

Adding to 2820300 its reverse (30282), we get a palindrome (2850582).

The spelling of 2820300 in words is "two million, eight hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 79 84 85 100 102 105 119 140 150 158 170 175 204 210 237 238 255 300 316 340 350 357 395 420 425 474 476 510 525 553 595 700 714 790 850 948 1020 1050 1106 1185 1190 1275 1343 1428 1580 1659 1700 1785 1975 2100 2212 2370 2380 2550 2686 2765 2975 3318 3570 3950 4029 4740 5100 5372 5530 5925 5950 6636 6715 7140 7900 8058 8295 8925 9401 11060 11850 11900 13430 13825 16116 16590 17850 18802 20145 23700 26860 27650 28203 33180 33575 35700 37604 40290 41475 47005 55300 56406 67150 80580 82950 94010 100725 112812 134300 141015 165900 188020 201450 235025 282030 402900 470050 564060 705075 940100 1410150 2820300