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2084300 = 2252191097
BaseRepresentation
bin111111100110111001100
310220220010022
413330313030
51013144200
6112401312
723500451
oct7746714
93826108
102084300
1111a3a69
12846238
1357c91a
143c3828
152b2885
hex1fcdcc

2084300 has 36 divisors (see below), whose sum is σ = 4765320. Its totient is φ = 789120.

The previous prime is 2084297. The next prime is 2084311. The reversal of 2084300 is 34802.

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, 1352 + ... + 2448.

It is an arithmetic number, because the mean of its divisors is an integer number (132370).

22084300 is an apocalyptic number.

2084300 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 2084300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382660).

2084300 is an abundant number, since it is smaller than the sum of its proper divisors (2681020).

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

2084300 is a wasteful number, since it uses less digits than its factorization.

2084300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2084300 is about 1443.7104972951. The cubic root of 2084300 is about 127.7379894321.

The spelling of 2084300 in words is "two million, eighty-four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1097 1900 2194 4388 5485 10970 20843 21940 27425 41686 54850 83372 104215 109700 208430 416860 521075 1042150 2084300