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2064100 = 225220641
BaseRepresentation
bin111110111111011100100
310212212102011
413313323210
51012022400
6112124004
723354533
oct7677344
93785364
102064100
11118a875
12836604
1357367c
143ba31a
152ab8ba
hex1f7ee4

2064100 has 18 divisors (see below), whose sum is σ = 4479314. Its totient is φ = 825600.

The previous prime is 2064077. The next prime is 2064109. The reversal of 2064100 is 14602.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 2056356 = 88^2 + 1434^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2064109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10221 + ... + 10420.

22064100 is an apocalyptic number.

2064100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064100 is an abundant number, since it is smaller than the sum of its proper divisors (2415214).

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

2064100 is a wasteful number, since it uses less digits than its factorization.

2064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20655 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2064100 is about 1436.6976021418. The cubic root of 2064100 is about 127.3239914079.

Adding to 2064100 its reverse (14602), we get a palindrome (2078702).

The spelling of 2064100 in words is "two million, sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20641 41282 82564 103205 206410 412820 516025 1032050 2064100