Search a number
-
+
12717471 = 3133167157
BaseRepresentation
bin110000100000…
…110110011111
3212221010002110
4300200312133
511223424341
61132325103
7213045114
oct60406637
925833073
1012717471
1171a6908
124313793
132833740
14199090b
1511b3216
hexc20d9f

12717471 has 32 divisors (see below), whose sum is σ = 19253248. Its totient is φ = 7413120.

The previous prime is 12717469. The next prime is 12717473. The reversal of 12717471 is 17471721.

12717471 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12717469) and next prime (12717473).

It is not a de Polignac number, because 12717471 - 21 = 12717469 is a prime.

It is a super-3 number, since 3×127174713 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12717473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80925 + ... + 81081.

It is an arithmetic number, because the mean of its divisors is an integer number (601664).

Almost surely, 212717471 is an apocalyptic number.

12717471 is a deficient number, since it is larger than the sum of its proper divisors (6535777).

12717471 is a wasteful number, since it uses less digits than its factorization.

12717471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its digits is 2744, while the sum is 30.

The square root of 12717471 is about 3566.1563342063. The cubic root of 12717471 is about 233.4175924720.

The spelling of 12717471 in words is "twelve million, seven hundred seventeen thousand, four hundred seventy-one".

Divisors: 1 3 13 31 39 67 93 157 201 403 471 871 1209 2041 2077 2613 4867 6123 6231 10519 14601 27001 31557 63271 81003 136747 189813 326089 410241 978267 4239157 12717471