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714168 = 2332713109
BaseRepresentation
bin10101110010110111000
31100021122200
42232112320
5140323133
623150200
76033060
oct2562670
91307580
10714168
11448624
122a5360
131c00b0
141483a0
15e1913
hexae5b8

714168 has 96 divisors (see below), whose sum is σ = 2402400. Its totient is φ = 186624.

The previous prime is 714163. The next prime is 714169. The reversal of 714168 is 861417.

714168 = T77 + T78 + ... + T167.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 714168.

It is not an unprimeable number, because it can be changed into a prime (714163) by changing a digit.

714168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6498 + ... + 6606.

It is an arithmetic number, because the mean of its divisors is an integer number (25025).

2714168 is an apocalyptic number.

714168 is a gapful number since it is divisible by the number (78) 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 714168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201200).

714168 is an abundant number, since it is smaller than the sum of its proper divisors (1688232).

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

714168 is a wasteful number, since it uses less digits than its factorization.

714168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 714168 is about 845.0846111485. The cubic root of 714168 is about 89.3854427298.

The spelling of 714168 in words is "seven hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 109 117 126 156 168 182 218 234 252 273 312 327 364 436 468 504 546 654 728 763 819 872 936 981 1092 1308 1417 1526 1638 1962 2184 2289 2616 2834 3052 3276 3924 4251 4578 5668 6104 6552 6867 7848 8502 9156 9919 11336 12753 13734 17004 18312 19838 25506 27468 29757 34008 39676 51012 54936 59514 79352 89271 102024 119028 178542 238056 357084 714168