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14101984 = 2513109311
BaseRepresentation
bin110101110010…
…110111100000
3222112110021201
4311302313200
512102230414
61222130544
7230602441
oct65626740
928473251
1014101984
117a62036
124880a54
132bc9990
141c312c8
151388574
hexd72de0

14101984 has 48 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 6428160.

The previous prime is 14101963. The next prime is 14102051. The reversal of 14101984 is 48910141.

It is a congruent number.

It is an unprimeable number.

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, 45189 + ... + 45499.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 214101984 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 14101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

14101984 is an abundant number, since it is smaller than the sum of its proper divisors (16168256).

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

14101984 is a wasteful number, since it uses less digits than its factorization.

14101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 14101984 is about 3755.2608431373. The cubic root of 14101984 is about 241.5980395438.

The spelling of 14101984 in words is "fourteen million, one hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 311 416 436 622 872 1244 1417 1744 2488 2834 3488 4043 4976 5668 8086 9952 11336 16172 22672 32344 33899 45344 64688 67798 129376 135596 271192 440687 542384 881374 1084768 1762748 3525496 7050992 14101984