Search a number
-
+
1968791 = 11253307
BaseRepresentation
bin111100000101010010111
310201000200012
413200222113
51001000131
6110110435
722506626
oct7405227
93630605
101968791
111125200
127ab41b
1353c186
143936bd
1528d52b
hex1e0a97

1968791 has 12 divisors (see below), whose sum is σ = 2212056. Its totient is φ = 1750320.

The previous prime is 1968773. The next prime is 1968797. The reversal of 1968791 is 1978691.

It is a happy number.

It is not a de Polignac number, because 1968791 - 214 = 1952407 is a prime.

It is a super-2 number, since 2×19687912 = 7752276003362, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968797) 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, 6260 + ... + 6566.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

21968791 is an apocalyptic number.

1968791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1968791 is a deficient number, since it is larger than the sum of its proper divisors (243265).

1968791 is a wasteful number, since it uses less digits than its factorization.

1968791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its digits is 27216, while the sum is 41.

The square root of 1968791 is about 1403.1361302454. The cubic root of 1968791 is about 125.3333184007. Note that the first 4 decimals are identical.

The spelling of 1968791 in words is "one million, nine hundred sixty-eight thousand, seven hundred ninety-one".

Divisors: 1 11 53 121 307 583 3377 6413 16271 37147 178981 1968791