Search a number
-
+
14323680 = 253257329
BaseRepresentation
bin110110101000…
…111111100000
3222221201101200
4312220333200
512131324210
61231001200
7232515000
oct66507740
928851350
1014323680
1180a3658
124969200
132c76867
141c8c000
1513ce0c0
hexda8fe0

14323680 has 288 divisors, whose sum is σ = 58968000. Its totient is φ = 3161088.

The previous prime is 14323679. The next prime is 14323703. The reversal of 14323680 is 8632341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 493906 + ... + 493934.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 214323680 is an apocalyptic number.

14323680 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 14323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

14323680 is an abundant number, since it is smaller than the sum of its proper divisors (44644320).

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

14323680 is a wasteful number, since it uses less digits than its factorization.

14323680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14323680 is about 3784.6637895591. The cubic root of 14323680 is about 242.8575093091.

The spelling of 14323680 in words is "fourteen million, three hundred twenty-three thousand, six hundred eighty".