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14111984 = 241961761
BaseRepresentation
bin110101110101…
…010011110000
3222112222000002
4311311103300
512103040414
61222245132
7230643545
oct65652360
928488002
1014111984
117a695a7
1248867a8
132c013b3
141c34bcc
15138b4de
hexd754f0

14111984 has 40 divisors (see below), whose sum is σ = 29291280. Its totient is φ = 6566400.

The previous prime is 14111971. The next prime is 14111987. The reversal of 14111984 is 48911141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18164 + ... + 18924.

It is an arithmetic number, because the mean of its divisors is an integer number (732282).

Almost surely, 214111984 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 14111984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645640).

14111984 is an abundant number, since it is smaller than the sum of its proper divisors (15179296).

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

14111984 is a wasteful number, since it uses less digits than its factorization.

14111984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its digits is 1152, while the sum is 29.

The square root of 14111984 is about 3756.5920726105. The cubic root of 14111984 is about 241.6551333907.

The spelling of 14111984 in words is "fourteen million, one hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 488 761 976 1159 1522 2318 3044 4636 6088 9272 12176 14459 18544 28918 46421 57836 92842 115672 185684 231344 371368 742736 881999 1763998 3527996 7055992 14111984