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726396 = 223115503
BaseRepresentation
bin10110001010101111100
31100220102120
42301111330
5141221041
623322540
76113526
oct2612574
91326376
10726396
11456830
122b0450
131c5828
1414ca16
15e5366
hexb157c

726396 has 24 divisors (see below), whose sum is σ = 1849344. Its totient is φ = 220080.

The previous prime is 726391. The next prime is 726413. The reversal of 726396 is 693627.

It is a super-2 number, since 2×7263962 = 1055302297632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 726396.

It is not an unprimeable number, because it can be changed into a prime (726391) by changing a digit.

726396 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 7 ways as a sum of consecutive naturals, for example, 2620 + ... + 2883.

It is an arithmetic number, because the mean of its divisors is an integer number (77056).

2726396 is an apocalyptic number.

It is an amenable number.

726396 is an abundant number, since it is smaller than the sum of its proper divisors (1122948).

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

726396 is a wasteful number, since it uses less digits than its factorization.

726396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5519 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 726396 is about 852.2886834870. The cubic root of 726396 is about 89.8927116593.

It can be divided in two parts, 726 and 396, that multiplied together give a cube (287496 = 663).

The spelling of 726396 in words is "seven hundred twenty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5503 11006 16509 22012 33018 60533 66036 121066 181599 242132 363198 726396