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14033920 = 21052741
BaseRepresentation
bin110101100010…
…010000000000
3222101222220211
4311202100000
512043041140
61220443504
7230200135
oct65422000
928358824
1014033920
117a1598a
124849594
132ba49c4
141c1458c
1513732ea
hexd62400

14033920 has 44 divisors (see below), whose sum is σ = 33677244. Its totient is φ = 5611520.

The previous prime is 14033911. The next prime is 14033927. The reversal of 14033920 is 2933041.

It can be written as a sum of positive squares in 2 ways, for example, as 4596736 + 9437184 = 2144^2 + 3072^2 .

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 14033891 and 14033900.

It is not an unprimeable number, because it can be changed into a prime (14033927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3750 + ... + 6490.

Almost surely, 214033920 is an apocalyptic number.

14033920 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 14033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838622).

14033920 is an abundant number, since it is smaller than the sum of its proper divisors (19643324).

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

14033920 is an equidigital number, since it uses as much as digits as its factorization.

14033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 14033920 is about 3746.1873952060. The cubic root of 14033920 is about 241.2087171076.

Adding to 14033920 its reverse (2933041), we get a palindrome (16966961).

The spelling of 14033920 in words is "fourteen million, thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 2741 5120 5482 10964 13705 21928 27410 43856 54820 87712 109640 175424 219280 350848 438560 701696 877120 1403392 1754240 2806784 3508480 7016960 14033920