Search a number
-
+
71029188 = 22321973033
BaseRepresentation
bin1000011101111…
…01000111000100
311221122122201200
410032331013010
5121140413223
611014222500
71521511116
oct416750704
9157578650
1071029188
113710430a
121b954a30
131193c109
14960d3b6
156380a43
hex43bd1c4

71029188 has 18 divisors (see below), whose sum is σ = 179546094. Its totient is φ = 23676384.

The previous prime is 71029187. The next prime is 71029223. The reversal of 71029188 is 88192017.

It can be written as a sum of positive squares in only one way, i.e., 70862724 + 166464 = 8418^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1973033 = 71029188 / (7 + 1 + 0 + 2 + 9 + 1 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (71029183) 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 5 ways as a sum of consecutive naturals, for example, 986481 + ... + 986552.

It is an arithmetic number, because the mean of its divisors is an integer number (9974783).

Almost surely, 271029188 is an apocalyptic number.

It is an amenable number.

71029188 is an abundant number, since it is smaller than the sum of its proper divisors (108516906).

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

71029188 is a wasteful number, since it uses less digits than its factorization.

71029188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973043 (or 1973038 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 71029188 is about 8427.8815843603. The cubic root of 71029188 is about 414.1385099799.

It can be divided in two parts, 71029 and 188, that added together give a palindrome (71217).

The spelling of 71029188 in words is "seventy-one million, twenty-nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1973033 3946066 5919099 7892132 11838198 17757297 23676396 35514594 71029188