Search a number
-
+
720468 = 22337953
BaseRepresentation
bin10101111111001010100
31100121022000
42233321110
5141023333
623235300
76060330
oct2577124
91317260
10720468
11452331
122a8b30
131c2c18
1414a7c0
15e3713
hexafe54

720468 has 48 divisors (see below), whose sum is σ = 2136960. Its totient is φ = 205632.

The previous prime is 720439. The next prime is 720481. The reversal of 720468 is 864027.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 720468.

It is an unprimeable number.

720468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280 + ... + 1232.

It is an arithmetic number, because the mean of its divisors is an integer number (44520).

2720468 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 720468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068480).

720468 is an abundant number, since it is smaller than the sum of its proper divisors (1416492).

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

720468 is a wasteful number, since it uses less digits than its factorization.

720468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 720468 is about 848.8038642702. The cubic root of 720468 is about 89.6475101457.

The spelling of 720468 in words is "seven hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 953 1906 2859 3812 5718 6671 8577 11436 13342 17154 20013 25731 26684 34308 40026 51462 60039 80052 102924 120078 180117 240156 360234 720468