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71142312 = 233233592
BaseRepresentation
bin1000011110110…
…00101110101000
311221212101220110
410033120232220
5121203023222
611020454320
71522461663
oct417305650
9157771813
1071142312
11371812aa
121b9aa3a0
131197b757
14963c6da
1563a430c
hex43d8ba8

71142312 has 48 divisors (see below), whose sum is σ = 186107040. Its totient is φ = 22619872.

The previous prime is 71142311. The next prime is 71142347. The reversal of 71142312 is 21324117.

It is a super-2 number, since 2×711423122 = 10122457113410688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71142311) 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 11 ways as a sum of consecutive naturals, for example, 197989 + ... + 198347.

It is an arithmetic number, because the mean of its divisors is an integer number (3877230).

Almost surely, 271142312 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 71142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93053520).

71142312 is an abundant number, since it is smaller than the sum of its proper divisors (114964728).

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

71142312 is a wasteful number, since it uses less digits than its factorization.

71142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 387 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 71142312 is about 8434.5902093700. The cubic root of 71142312 is about 414.3582513608.

Adding to 71142312 its reverse (21324117), we get a palindrome (92466429).

The spelling of 71142312 in words is "seventy-one million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 359 552 718 1077 1436 2154 2872 4308 8257 8616 16514 24771 33028 49542 66056 99084 128881 198168 257762 386643 515524 773286 1031048 1546572 2964263 3093144 5928526 8892789 11857052 17785578 23714104 35571156 71142312