Search a number
-
+
1989361 = 11241401
BaseRepresentation
bin111100101101011110001
310202001220001
413211223301
51002124421
6110350001
722623613
oct7455361
93661801
101989361
111139700
127bb301
1354864a
1439adb3
15294691
hex1e5af1

1989361 has 12 divisors (see below), whose sum is σ = 2245572. Its totient is φ = 1760000.

The previous prime is 1989353. The next prime is 1989401. The reversal of 1989361 is 1639891.

1989361 = T178 + T179 + ... + T259.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 874225 = 1056^2 + 935^2 .

It is not a de Polignac number, because 1989361 - 23 = 1989353 is a prime.

It is a Duffinian number.

1989361 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1989361.

It is not an unprimeable number, because it can be changed into a prime (1989341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4761 + ... + 5161.

It is an arithmetic number, because the mean of its divisors is an integer number (187131).

21989361 is an apocalyptic number.

1989361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1989361 is a deficient number, since it is larger than the sum of its proper divisors (256211).

1989361 is a wasteful number, since it uses less digits than its factorization.

1989361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its digits is 11664, while the sum is 37.

The square root of 1989361 is about 1410.4470922371. The cubic root of 1989361 is about 125.7683026795.

It can be divided in two parts, 198 and 9361, that added together give a palindrome (9559).

The spelling of 1989361 in words is "one million, nine hundred eighty-nine thousand, three hundred sixty-one".

Divisors: 1 11 41 121 401 451 4411 4961 16441 48521 180851 1989361