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2081300 = 2252131601
BaseRepresentation
bin111111100001000010100
310220202000012
413330020110
51013100200
6112335352
723455634
oct7741024
93822005
102081300
1111a1791
12844558
1357b450
143c26c4
152b1a35
hex1fc214

2081300 has 36 divisors (see below), whose sum is σ = 4866876. Its totient is φ = 768000.

The previous prime is 2081297. The next prime is 2081311. The reversal of 2081300 is 31802.

It can be written as a sum of positive squares in 6 ways, for example, as 1936 + 2079364 = 44^2 + 1442^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (135191).

22081300 is an apocalyptic number.

2081300 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 2081300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433438).

2081300 is an abundant number, since it is smaller than the sum of its proper divisors (2785576).

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

2081300 is a wasteful number, since it uses less digits than its factorization.

2081300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2081300 is about 1442.6711336961. The cubic root of 2081300 is about 127.6766742067.

It can be divided in two parts, 208 and 1300, that multiplied together give a square (270400 = 5202).

The spelling of 2081300 in words is "two million, eighty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1601 3202 6404 8005 16010 20813 32020 40025 41626 80050 83252 104065 160100 208130 416260 520325 1040650 2081300