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12740013 = 32111319521
BaseRepresentation
bin110000100110…
…010110101101
3212222021000100
4300212112231
511230140023
61133021313
7213200616
oct60462655
925867010
1012740013
117211840
124324839
132840a90
141998c0d
1511b9c43
hexc265ad

12740013 has 48 divisors (see below), whose sum is σ = 22800960. Its totient is φ = 6739200.

The previous prime is 12740003. The next prime is 12740017. The reversal of 12740013 is 31004721.

12740013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12740013 - 214 = 12723629 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 (12740017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24193 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 212740013 is an apocalyptic number.

12740013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12740013 is a deficient number, since it is larger than the sum of its proper divisors (10060947).

12740013 is a wasteful number, since it uses less digits than its factorization.

12740013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12740013 is about 3569.3154805929. The cubic root of 12740013 is about 233.5554236912. Note that the first 3 decimals are identical.

Adding to 12740013 its reverse (31004721), we get a palindrome (43744734).

The spelling of 12740013 in words is "twelve million, seven hundred forty thousand, thirteen".

Divisors: 1 3 9 11 13 19 33 39 57 99 117 143 171 209 247 429 521 627 741 1287 1563 1881 2223 2717 4689 5731 6773 8151 9899 17193 20319 24453 29697 51579 60957 74503 89091 108889 128687 223509 326667 386061 670527 980001 1158183 1415557 4246671 12740013