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2065100 = 2252107193
BaseRepresentation
bin111111000001011001100
310212220210012
413320023030
51012040400
6112132352
723360462
oct7701314
93786705
102065100
1111905a4
128370b8
13573c6b
143ba832
152abd35
hex1f82cc

2065100 has 36 divisors (see below), whose sum is σ = 4546584. Its totient is φ = 814080.

The previous prime is 2065087. The next prime is 2065103. The reversal of 2065100 is 15602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10604 + ... + 10796.

It is an arithmetic number, because the mean of its divisors is an integer number (126294).

22065100 is an apocalyptic number.

2065100 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 2065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273292).

2065100 is an abundant number, since it is smaller than the sum of its proper divisors (2481484).

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

2065100 is a wasteful number, since it uses less digits than its factorization.

2065100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2065100 is about 1437.0455803488. The cubic root of 2065100 is about 127.3445497522.

The spelling of 2065100 in words is "two million, sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 193 214 386 428 535 772 965 1070 1930 2140 2675 3860 4825 5350 9650 10700 19300 20651 41302 82604 103255 206510 413020 516275 1032550 2065100