Search a number
-
+
1338193605 = 35712744701
BaseRepresentation
bin100111111000011…
…0011011011000101
310110021001021112010
41033300303123011
510220034143410
6340442044433
745106313040
oct11760633305
93407037463
101338193605
11627414731
123141a9719
1318431b548
14c9a23c57
157c736c20
hex4fc336c5

1338193605 has 16 divisors (see below), whose sum is σ = 2446982784. Its totient is φ = 611745600.

The previous prime is 1338193601. The next prime is 1338193631. The reversal of 1338193605 is 5063918331.

It is not a de Polignac number, because 1338193605 - 22 = 1338193601 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338193601) 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 15 ways as a sum of consecutive naturals, for example, 6372246 + ... + 6372455.

It is an arithmetic number, because the mean of its divisors is an integer number (152936424).

Almost surely, 21338193605 is an apocalyptic number.

1338193605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338193605 is a deficient number, since it is larger than the sum of its proper divisors (1108789179).

1338193605 is a wasteful number, since it uses less digits than its factorization.

1338193605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744716.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1338193605 is about 36581.3286390749. The cubic root of 1338193605 is about 1101.9781498913.

The spelling of 1338193605 in words is "one billion, three hundred thirty-eight million, one hundred ninety-three thousand, six hundred five".

Divisors: 1 3 5 7 15 21 35 105 12744701 38234103 63723505 89212907 191170515 267638721 446064535 1338193605