Search a number
-
+
1730514240 = 263357133171
BaseRepresentation
bin110011100100101…
…1000110101000000
311110121021020021000
41213021120311000
512021002423430
6443414532000
760612062010
oct14711306500
94417236230
101730514240
11808914a64
12403667000
132176a1630
14125b89c40
15a1dcee60
hex67258d40

1730514240 has 896 divisors, whose sum is σ = 7865303040. Its totient is φ = 348364800.

The previous prime is 1730514239. The next prime is 1730514293. The reversal of 1730514240 is 424150371.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 24373405 + ... + 24373475.

It is an arithmetic number, because the mean of its divisors is an integer number (8778240).

Almost surely, 21730514240 is an apocalyptic number.

1730514240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1730514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932651520).

1730514240 is an abundant number, since it is smaller than the sum of its proper divisors (6134788800).

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

1730514240 is a wasteful number, since it uses less digits than its factorization.

1730514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1730514240 is about 41599.4499963641. The cubic root of 1730514240 is about 1200.5817179579.

The spelling of 1730514240 in words is "one billion, seven hundred thirty million, five hundred fourteen thousand, two hundred forty".