Search a number
-
+
13937313 = 3132912323
BaseRepresentation
bin110101001010…
…101010100001
3222020002101210
4311022222201
512031443223
61214420333
7226315365
oct65125241
928202353
1013937313
11795a345
1248016a9
132b6ca40
141bcb2a5
151354893
hexd4aaa1

13937313 has 16 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 8280384.

The previous prime is 13937291. The next prime is 13937351. The reversal of 13937313 is 31373931.

It is not a de Polignac number, because 13937313 - 25 = 13937281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13937213) 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 15 ways as a sum of consecutive naturals, for example, 5031 + ... + 7292.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 213937313 is an apocalyptic number.

13937313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13937313 is a deficient number, since it is larger than the sum of its proper divisors (6767007).

13937313 is a wasteful number, since it uses less digits than its factorization.

13937313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12368.

The product of its digits is 5103, while the sum is 30.

The square root of 13937313 is about 3733.2710857906. The cubic root of 13937313 is about 240.6539629611.

The spelling of 13937313 in words is "thirteen million, nine hundred thirty-seven thousand, three hundred thirteen".

Divisors: 1 3 13 29 39 87 377 1131 12323 36969 160199 357367 480597 1072101 4645771 13937313