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2001980 = 225313229
BaseRepresentation
bin111101000110000111100
310202201012102
413220300330
51003030410
6110524232
723005451
oct7506074
93681172
102001980
111148132
12806678
13551306
143a1828
152982a5
hex1e8c3c

2001980 has 24 divisors (see below), whose sum is σ = 4341120. Its totient is φ = 774720.

The previous prime is 2001977. The next prime is 2001997. The reversal of 2001980 is 891002.

It is a Harshad number since it is a multiple of its sum of digits (20).

2001980 is a modest number, since divided by 1980 gives 200 as remainder.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 995 + ... + 2234.

It is an arithmetic number, because the mean of its divisors is an integer number (180880).

22001980 is an apocalyptic number.

2001980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001980 is an abundant number, since it is smaller than the sum of its proper divisors (2339140).

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

2001980 is a wasteful number, since it uses less digits than its factorization.

2001980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2001980 is about 1414.9134249133. The cubic root of 2001980 is about 126.0336686711.

Adding to 2001980 its reverse (891002), we get a palindrome (2892982).

The spelling of 2001980 in words is "two million, one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 3229 6458 12916 16145 32290 64580 100099 200198 400396 500495 1000990 2001980