Search a number
-
+
271481329 = 7192777369
BaseRepresentation
bin10000001011100…
…111100111110001
3200220211200101001
4100023213213301
51023444400304
642534442001
76504360520
oct2013474761
9626750331
10271481329
1112a275a39
1276b03301
1344324152
14280ac4b7
1518c78da4
hex102e79f1

271481329 has 16 divisors (see below), whose sum is σ = 327817600. Its totient is φ = 219625344.

The previous prime is 271481311. The next prime is 271481333. The reversal of 271481329 is 923184172.

It is a 2-Lehmer number, since φ(271481329) divides (271481329-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 271481329 - 215 = 271448561 is a prime.

It is a super-2 number, since 2×2714813292 = 147404223991212482, which contains 22 as substring.

It is a deceptive number, since it divides R271481328.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (271481339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33157 + ... + 40525.

It is an arithmetic number, because the mean of its divisors is an integer number (20488600).

It is a Poulet number, since it divides 2271481328-1.

Almost surely, 2271481329 is an apocalyptic number.

It is an amenable number.

271481329 is a deficient number, since it is larger than the sum of its proper divisors (56336271).

271481329 is a wasteful number, since it uses less digits than its factorization.

271481329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672.

The product of its digits is 24192, while the sum is 37.

The square root of 271481329 is about 16476.6904747282. The cubic root of 271481329 is about 647.5102617595.

The spelling of 271481329 in words is "two hundred seventy-one million, four hundred eighty-one thousand, three hundred twenty-nine".

Divisors: 1 7 19 133 277 1939 5263 7369 36841 51583 140011 980077 2041213 14288491 38783047 271481329