Search a number
-
+
14996320 = 255194933
BaseRepresentation
bin111001001101…
…001101100000
31001012220002021
4321031031200
512314340240
61253231224
7241316023
oct71151540
931186067
1014996320
118512a59
125032514
133150a81
141dc51ba
1514b354a
hexe4d360

14996320 has 48 divisors (see below), whose sum is σ = 37301040. Its totient is φ = 5681664.

The previous prime is 14996309. The next prime is 14996321. The reversal of 14996320 is 2369941.

It is a super-2 number, since 2×149963202 = 449779227084800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14996321) 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 7 ways as a sum of consecutive naturals, for example, 574 + ... + 5506.

It is an arithmetic number, because the mean of its divisors is an integer number (777105).

Almost surely, 214996320 is an apocalyptic number.

14996320 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 14996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650520).

14996320 is an abundant number, since it is smaller than the sum of its proper divisors (22304720).

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

14996320 is a wasteful number, since it uses less digits than its factorization.

14996320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 14996320 is about 3872.5082311081. The cubic root of 14996320 is about 246.6010376492.

It can be divided in two parts, 149 and 96320, that added together give a palindrome (96469).

The spelling of 14996320 in words is "fourteen million, nine hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4933 9866 19732 24665 39464 49330 78928 93727 98660 157856 187454 197320 374908 394640 468635 749816 789280 937270 1499632 1874540 2999264 3749080 7498160 14996320