Search a number
-
+
71415729 = 3371134351
BaseRepresentation
bin1000100000110…
…11011110110001
311222101021222000
410100123132301
5121240300404
611030404213
71525011060
oct420333661
9158337860
1071415729
1137348770
121bb00669
1311a46038
1496b01d7
15640a339
hex441b7b1

71415729 has 32 divisors (see below), whose sum is σ = 131911680. Its totient is φ = 37098000.

The previous prime is 71415703. The next prime is 71415731. The reversal of 71415729 is 92751417.

It is a happy number.

It is not a de Polignac number, because 71415729 - 25 = 71415697 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71415693 and 71415702.

It is not an unprimeable number, because it can be changed into a prime (71415749) 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 31 ways as a sum of consecutive naturals, for example, 15097 + ... + 19254.

It is an arithmetic number, because the mean of its divisors is an integer number (4122240).

Almost surely, 271415729 is an apocalyptic number.

It is an amenable number.

71415729 is a deficient number, since it is larger than the sum of its proper divisors (60495951).

71415729 is a wasteful number, since it uses less digits than its factorization.

71415729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34378 (or 34372 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 71415729 is about 8450.7827448113. The cubic root of 71415729 is about 414.8883988874. Note that the first 3 decimals are identical.

The spelling of 71415729 in words is "seventy-one million, four hundred fifteen thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 34351 103053 240457 309159 377861 721371 927477 1133583 2164113 2645027 3400749 6492339 7935081 10202247 23805243 71415729