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14109120 = 263352371
BaseRepresentation
bin110101110100…
…100111000000
3222112211002000
4311310213000
512102442440
61222224000
7230632314
oct65644700
928484060
1014109120
117a67433
124885000
132bcccbc
141c33b44
15138a730
hexd749c0

14109120 has 224 divisors, whose sum is σ = 52669440. Its totient is φ = 3548160.

The previous prime is 14109103. The next prime is 14109149. The reversal of 14109120 is 2190141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14109093 and 14109102.

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 31 ways as a sum of consecutive naturals, for example, 198685 + ... + 198755.

Almost surely, 214109120 is an apocalyptic number.

14109120 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 14109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

14109120 is an abundant number, since it is smaller than the sum of its proper divisors (38560320).

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

14109120 is a wasteful number, since it uses less digits than its factorization.

14109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 14109120 is about 3756.2108567012. The cubic root of 14109120 is about 241.6387844698.

Adding to 14109120 its reverse (2190141), we get a palindrome (16299261).

The spelling of 14109120 in words is "fourteen million, one hundred nine thousand, one hundred twenty".