Search a number
-
+
1982416005 = 33514684563
BaseRepresentation
bin111011000101001…
…0100010010000101
312010011021011112000
41312022110102011
513024444303010
6524414015513
7100061154333
oct16612242205
95104234460
101982416005
11928027539
12473aa7599
1325792b82b
1414b3dcb53
15b908c7c0
hex76294485

1982416005 has 16 divisors (see below), whose sum is σ = 3524295360. Its totient is φ = 1057288464.

The previous prime is 1982416001. The next prime is 1982416013. The reversal of 1982416005 is 5006142891.

1982416005 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 41 + 600 + 5 = 666.

It is not a de Polignac number, because 1982416005 - 22 = 1982416001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982416001) 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 15 ways as a sum of consecutive naturals, for example, 7342147 + ... + 7342416.

It is an arithmetic number, because the mean of its divisors is an integer number (220268460).

Almost surely, 21982416005 is an apocalyptic number.

1982416005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1982416005 is a deficient number, since it is larger than the sum of its proper divisors (1541879355).

1982416005 is a wasteful number, since it uses less digits than its factorization.

1982416005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14684577 (or 14684571 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1982416005 is about 44524.3304834559. The cubic root of 1982416005 is about 1256.2177679411.

Adding to 1982416005 its reverse (5006142891), we get a palindrome (6988558896).

The spelling of 1982416005 in words is "one billion, nine hundred eighty-two million, four hundred sixteen thousand, five".

Divisors: 1 3 5 9 15 27 45 135 14684563 44053689 73422815 132161067 220268445 396483201 660805335 1982416005