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2082300 = 2235211631
BaseRepresentation
bin111111100010111111100
310220210101020
413330113330
51013113200
6112344140
723461563
oct7742774
93823336
102082300
1111a2510
12845050
1357ba3c
143c2bda
152b1ea0
hex1fc5fc

2082300 has 72 divisors (see below), whose sum is σ = 6582912. Its totient is φ = 504000.

The previous prime is 2082281. The next prime is 2082341. The reversal of 2082300 is 32802.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2082300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2985 + ... + 3615.

22082300 is an apocalyptic number.

2082300 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 2082300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291456).

2082300 is an abundant number, since it is smaller than the sum of its proper divisors (4500612).

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

2082300 is a wasteful number, since it uses less digits than its factorization.

2082300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

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

The square root of 2082300 is about 1443.0176714095. The cubic root of 2082300 is about 127.6971191580.

The spelling of 2082300 in words is "two million, eighty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 631 660 825 1100 1262 1650 1893 2524 3155 3300 3786 6310 6941 7572 9465 12620 13882 15775 18930 20823 27764 31550 34705 37860 41646 47325 63100 69410 83292 94650 104115 138820 173525 189300 208230 347050 416460 520575 694100 1041150 2082300