Search a number
-
+
13975793 = 132412017
BaseRepresentation
bin110101010100…
…000011110001
3222022001011222
4311110003301
512034211133
61215314425
7226535516
oct65240361
928261158
1013975793
117986247
12481ba15
132b84400
141bdb30d
151360e98
hexd540f1

13975793 has 12 divisors (see below), whose sum is σ = 15510348. Its totient is φ = 12579840.

The previous prime is 13975769. The next prime is 13975799. The reversal of 13975793 is 39757931.

It can be written as a sum of positive squares in 6 ways, for example, as 2999824 + 10975969 = 1732^2 + 3313^2 .

It is not a de Polignac number, because 13975793 - 28 = 13975537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13975799) 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, 5921 + ... + 7937.

It is an arithmetic number, because the mean of its divisors is an integer number (1292529).

Almost surely, 213975793 is an apocalyptic number.

13975793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13975793 is a deficient number, since it is larger than the sum of its proper divisors (1534555).

13975793 is a wasteful number, since it uses less digits than its factorization.

13975793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2071 counting only the distinct ones).

The product of its digits is 178605, while the sum is 44.

The square root of 13975793 is about 3738.4211908237. The cubic root of 13975793 is about 240.8752360077.

The spelling of 13975793 in words is "thirteen million, nine hundred seventy-five thousand, seven hundred ninety-three".

Divisors: 1 13 41 169 533 2017 6929 26221 82697 340873 1075061 13975793