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14109888 = 263135653
BaseRepresentation
bin110101110100…
…110011000000
3222112212010110
4311310303000
512103004023
61222231320
7230634462
oct65646300
928485113
1014109888
117a67a71
124885540
132c00460
141c34132
15138aa93
hexd74cc0

14109888 has 56 divisors (see below), whose sum is σ = 40211248. Its totient is φ = 4340736.

The previous prime is 14109883. The next prime is 14109889. The reversal of 14109888 is 88890141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14109883) 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, 331 + ... + 5322.

It is an arithmetic number, because the mean of its divisors is an integer number (718058).

Almost surely, 214109888 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 14109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105624).

14109888 is an abundant number, since it is smaller than the sum of its proper divisors (26101360).

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

14109888 is a wasteful number, since it uses less digits than its factorization.

14109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 14109888 is about 3756.3130859927. The cubic root of 14109888 is about 241.6431687551.

The spelling of 14109888 in words is "fourteen million, one hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5653 11306 16959 22612 33918 45224 67836 73489 90448 135672 146978 180896 220467 271344 293956 361792 440934 542688 587912 881868 1085376 1175824 1763736 2351648 3527472 4703296 7054944 14109888