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71147004 = 22323376967
BaseRepresentation
bin1000011110110…
…01110111111100
311221212122100020
410033121313330
5121203201004
611020532140
71522511445
oct417316774
9157778306
1071147004
1137184885
121b9b1050
1311980926
1496402cc
1563a58d9
hex43d9dfc

71147004 has 48 divisors (see below), whose sum is σ = 177934848. Its totient is φ = 22068288.

The previous prime is 71146997. The next prime is 71147009. The reversal of 71147004 is 40074117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71147009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6729 + ... + 13695.

It is an arithmetic number, because the mean of its divisors is an integer number (3706976).

Almost surely, 271147004 is an apocalyptic number.

71147004 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71147004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88967424).

71147004 is an abundant number, since it is smaller than the sum of its proper divisors (106787844).

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

71147004 is a wasteful number, since it uses less digits than its factorization.

71147004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 71147004 is about 8434.8683451492. The cubic root of 71147004 is about 414.3673604556.

The spelling of 71147004 in words is "seventy-one million, one hundred forty-seven thousand, four".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 6967 10212 13934 20901 27868 41802 83604 160241 257779 320482 480723 515558 640964 773337 961446 1031116 1546674 1922892 3093348 5928917 11857834 17786751 23715668 35573502 71147004