Search a number
-
+
80311680 = 2732573191
BaseRepresentation
bin1001100100101…
…11010110000000
312121010020220200
410302113112000
5131024433210
611545205200
71663431561
oct462272600
9177106820
1080311680
1141374399
1222a90800
131383c207
14a948168
1570b60c0
hex4c97580

80311680 has 192 divisors, whose sum is σ = 282597120. Its totient is φ = 21012480.

The previous prime is 80311639. The next prime is 80311681. The reversal of 80311680 is 8611308.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80311681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 420385 + ... + 420575.

It is an arithmetic number, because the mean of its divisors is an integer number (1471860).

Almost surely, 280311680 is an apocalyptic number.

80311680 is a gapful number since it is divisible by the number (80) 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 80311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298560).

80311680 is an abundant number, since it is smaller than the sum of its proper divisors (202285440).

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

80311680 is a wasteful number, since it uses less digits than its factorization.

80311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80311680 is about 8961.6784142258. The cubic root of 80311680 is about 431.4457913728.

Adding to 80311680 its reverse (8611308), we get a palindrome (88922988).

The spelling of 80311680 in words is "eighty million, three hundred eleven thousand, six hundred eighty".