Search a number
-
+
729030 = 235191279
BaseRepresentation
bin10110001111111000110
31101001001010
42301333012
5141312110
623343050
76124311
oct2617706
91331033
10729030
11458805
122b1a86
131c6aa3
1414d978
15e6020
hexb1fc6

729030 has 32 divisors (see below), whose sum is σ = 1843200. Its totient is φ = 184032.

The previous prime is 729023. The next prime is 729037. The reversal of 729030 is 30927.

It is an interprime number because it is at equal distance from previous prime (729023) and next prime (729037).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 728988 and 729006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729037) by changing a digit.

729030 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, 70 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2729030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921600).

729030 is an abundant number, since it is smaller than the sum of its proper divisors (1114170).

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

729030 is a wasteful number, since it uses less digits than its factorization.

729030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 729030 is about 853.8325362739. The cubic root of 729030 is about 90.0012345510.

Adding to 729030 its reverse (30927), we get a palindrome (759957).

The spelling of 729030 in words is "seven hundred twenty-nine thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1279 2558 3837 6395 7674 12790 19185 24301 38370 48602 72903 121505 145806 243010 364515 729030