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14133328 = 2411131613
BaseRepresentation
bin110101111010…
…100001010000
3222121001021121
4311322201100
512104231303
61222532024
7231063016
oct65724120
928531247
1014133328
117a83640
124897014
132c0b021
141c3c8b6
1513929bd
hexd7a850

14133328 has 40 divisors (see below), whose sum is σ = 30149856. Its totient is φ = 6364800.

The previous prime is 14133313. The next prime is 14133347. The reversal of 14133328 is 82333141.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 22750 + ... + 23362.

Almost surely, 214133328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14133328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074928).

14133328 is an abundant number, since it is smaller than the sum of its proper divisors (16016528).

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

14133328 is a wasteful number, since it uses less digits than its factorization.

14133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 14133328 is about 3759.4318719721. The cubic root of 14133328 is about 241.7769043375.

Adding to 14133328 its reverse (82333141), we get a palindrome (96466469).

The spelling of 14133328 in words is "fourteen million, one hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 613 1048 1226 1441 2096 2452 2882 4904 5764 6743 9808 11528 13486 23056 26972 53944 80303 107888 160606 321212 642424 883333 1284848 1766666 3533332 7066664 14133328