Search a number
-
+
71143884 = 223272311301
BaseRepresentation
bin1000011110110…
…01000111001100
311221212111001200
410033121013030
5121203101014
611020505500
71522466400
oct417310714
9157774050
1071143884
11371824a9
121b9ab290
131197c396
14963d100
1563a4a09
hex43d91cc

71143884 has 108 divisors (see below), whose sum is σ = 216111168. Its totient is φ = 19656000.

The previous prime is 71143823. The next prime is 71143889. The reversal of 71143884 is 48834117.

It is a super-2 number, since 2×711438842 = 10122904461210912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21504) is a multiple of the sum of its prime divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (71143889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54034 + ... + 55334.

Almost surely, 271143884 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 71143884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

71143884 is an abundant number, since it is smaller than the sum of its proper divisors (144967284).

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

71143884 is a wasteful number, since it uses less digits than its factorization.

71143884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1344 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 71143884 is about 8434.6833965479. The cubic root of 71143884 is about 414.3613033016.

It can be divided in two parts, 71143 and 884, that added together give a palindrome (72027).

The spelling of 71143884 in words is "seventy-one million, one hundred forty-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1301 1302 1519 1764 1953 2602 2604 3038 3903 3906 4557 5204 6076 7806 7812 9107 9114 11709 13671 15612 18214 18228 23418 27321 27342 36428 40331 46836 54642 54684 63749 80662 81963 109284 120993 127498 161324 163926 191247 241986 254996 282317 327852 362979 382494 483972 564634 573741 725958 764988 846951 1129268 1147482 1451916 1693902 1976219 2294964 2540853 3387804 3952438 5081706 5928657 7904876 10163412 11857314 17785971 23714628 35571942 71143884