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71145312 = 2537105871
BaseRepresentation
bin1000011110110…
…01011101100000
311221212120000120
410033121131200
5121203122222
611020520240
71522503510
oct417313540
9157776016
1071145312
1137183587
121b9b0080
131197cc24
14963d840
1563a515c
hex43d9760

71145312 has 48 divisors (see below), whose sum is σ = 213437952. Its totient is φ = 20327040.

The previous prime is 71145247. The next prime is 71145317. The reversal of 71145312 is 21354117.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71145317) 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 7 ways as a sum of consecutive naturals, for example, 52264 + ... + 53607.

It is an arithmetic number, because the mean of its divisors is an integer number (4446624).

Almost surely, 271145312 is an apocalyptic number.

It is an amenable number.

71145312 is an abundant number, since it is smaller than the sum of its proper divisors (142292640).

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

71145312 is a wasteful number, since it uses less digits than its factorization.

71145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105891 (or 105883 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 71145312 is about 8434.7680466033. The cubic root of 71145312 is about 414.3640756364.

Adding to 71145312 its reverse (21354117), we get a palindrome (92499429).

The spelling of 71145312 in words is "seventy-one million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 105871 211742 317613 423484 635226 741097 846968 1270452 1482194 1693936 2223291 2540904 2964388 3387872 4446582 5081808 5928776 8893164 10163616 11857552 17786328 23715104 35572656 71145312