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714816 = 26321773
BaseRepresentation
bin10101110100001000000
31100022112200
42232201000
5140333231
623153200
76035004
oct2564100
91308480
10714816
11449063
122a5800
131c048b
14148704
15e1be6
hexae840

714816 has 84 divisors (see below), whose sum is σ = 2199132. Its totient is φ = 221184.

The previous prime is 714809. The next prime is 714827. The reversal of 714816 is 618417.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 230400 = 696^2 + 480^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 714816.

It is a congruent number.

It is an unprimeable number.

714816 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9756 + ... + 9828.

2714816 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 714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099566).

714816 is an abundant number, since it is smaller than the sum of its proper divisors (1484316).

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

714816 is a wasteful number, since it uses less digits than its factorization.

714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

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

The square root of 714816 is about 845.4679177828. The cubic root of 714816 is about 89.4124691705.

The spelling of 714816 in words is "seven hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 73 96 102 136 144 146 153 192 204 219 272 288 292 306 408 438 544 576 584 612 657 816 876 1088 1168 1224 1241 1314 1632 1752 2336 2448 2482 2628 3264 3504 3723 4672 4896 4964 5256 7008 7446 9792 9928 10512 11169 14016 14892 19856 21024 22338 29784 39712 42048 44676 59568 79424 89352 119136 178704 238272 357408 714816