Search a number
-
+
271214124 = 223176719843
BaseRepresentation
bin10000001010100…
…110011000101100
3200220100002211120
4100022212120230
51023412322444
642525020540
76502165506
oct2012463054
9626302746
10271214124
1112a103205
12769b4750
134425c63c
142803cd76
1518c24b19
hex102a662c

271214124 has 48 divisors (see below), whose sum is σ = 680093568. Its totient is φ = 83812608.

The previous prime is 271214063. The next prime is 271214129. The reversal of 271214124 is 421412172.

It is a junction number, because it is equal to n+sod(n) for n = 271214094 and 271214103.

It is not an unprimeable number, because it can be changed into a prime (271214129) 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, 3747 + ... + 23589.

It is an arithmetic number, because the mean of its divisors is an integer number (14168616).

Almost surely, 2271214124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340046784).

271214124 is an abundant number, since it is smaller than the sum of its proper divisors (408879444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271214124 is a wasteful number, since it uses less digits than its factorization.

271214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19934 (or 19932 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 271214124 is about 16468.5799023474. The cubic root of 271214124 is about 647.2977550954.

Adding to 271214124 its reverse (421412172), we get a palindrome (692626296).

It can be divided in two parts, 2712 and 14124, that added together give a triangular number (16836 = T183).

The spelling of 271214124 in words is "two hundred seventy-one million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 6834 13668 19843 39686 59529 79372 119058 238116 337331 674662 1011993 1329481 1349324 2023986 2658962 3988443 4047972 5317924 7976886 15953772 22601177 45202354 67803531 90404708 135607062 271214124