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2985983 = 7111319157
BaseRepresentation
bin1011011000111111111111
312121200222222
423120333333
51231022413
6143555555
734244330
oct13307777
95550888
102985983
11175a460
12bbbbbb
13807170
1457a287
153deb08
hex2d8fff

2985983 has 32 divisors (see below), whose sum is σ = 4247040. Its totient is φ = 2021760.

The previous prime is 2985979. The next prime is 2985991. The reversal of 2985983 is 3895892.

2985983 is nontrivially palindromic in base 12.

It is a Cunningham number, because it is equal to 126-1.

It is not a de Polignac number, because 2985983 - 22 = 2985979 is a prime.

2985983 is a nontrivial repdigit in base 12.

It is a plaindrome in base 12.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18941 + ... + 19097.

It is an arithmetic number, because the mean of its divisors is an integer number (132720).

22985983 is an apocalyptic number.

2985983 is a deficient number, since it is larger than the sum of its proper divisors (1261057).

2985983 is a wasteful number, since it uses less digits than its factorization.

2985983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207.

The product of its digits is 155520, while the sum is 44.

The square root of 2985983 is about 1727.9997106481. Note that the first 3 decimals coincide. The cubic root of 2985983 is about 143.9999839249. Note that the first 4 decimals are identical.

Subtracting 2985983 from its reverse (3895892), we obtain a palindrome (909909).

The spelling of 2985983 in words is "two million, nine hundred eighty-five thousand, nine hundred eighty-three".

Divisors: 1 7 11 13 19 77 91 133 143 157 209 247 1001 1099 1463 1727 1729 2041 2717 2983 12089 14287 19019 20881 22451 32813 38779 157157 229691 271453 426569 2985983