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729000000 = 263656
BaseRepresentation
bin101011011100111…
…010100001000000
31212210202001000000
4223130322201000
52443111000000
6200201000000
724031253301
oct5334724100
91783661000
10729000000
11344557543
12184183000
13b8054161
146cb667a8
1544000000
hex2b73a840

729000000 has 343 divisors, whose sum is σ = 2711117641. Its totient is φ = 194400000.

The previous prime is 728999993. The next prime is 729000007. The reversal of 729000000 is 927.

The square root of 729000000 is 27000.

The cubic root of 729000000 is 900.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (728999993) and next prime (729000007).

It can be written as a sum of positive squares in 3 ways, for example, as 638673984 + 90326016 = 25272^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (729000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 145799998 + ... + 145800002.

Almost surely, 2729000000 is an apocalyptic number.

729000000 is the 27000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729000000

729000000 is an abundant number, since it is smaller than the sum of its proper divisors (1982117641).

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

729000000 is an frugal number, since it uses more digits than its factorization.

729000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 729000000 its reverse (927), we get a palindrome (729000927).

The spelling of 729000000 in words is "seven hundred twenty-nine million", and thus it is an aban number.