Search a number
-
+
726016 = 210709
BaseRepresentation
bin10110001010000000000
31100212220111
42301100000
5141213031
623321104
76112444
oct2612000
91325814
10726016
11456515
122b0194
131c55c5
1414c824
15e51b1
hexb1400

726016 has 22 divisors (see below), whose sum is σ = 1453370. Its totient is φ = 362496.

The previous prime is 726013. The next prime is 726023. The reversal of 726016 is 610627.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 230400 = 704^2 + 480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 670 + ... + 1378.

2726016 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 726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726685).

726016 is an abundant number, since it is smaller than the sum of its proper divisors (727354).

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

726016 is an equidigital number, since it uses as much as digits as its factorization.

726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 726016 is about 852.0657251644. The cubic root of 726016 is about 89.8770337147.

The spelling of 726016 in words is "seven hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 709 1024 1418 2836 5672 11344 22688 45376 90752 181504 363008 726016