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14135984 = 2423107359
BaseRepresentation
bin110101111011…
…001010110000
3222121011220222
4311323022300
512104322414
61222552212
7231103532
oct65731260
928534828
1014135984
117a85635
124898668
132c0c2b5
141c3d852
15139368e
hexd7b2b0

14135984 has 40 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 6678848.

The previous prime is 14135977. The next prime is 14135999. The reversal of 14135984 is 48953141.

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, 39197 + ... + 39555.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 214135984 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 14135984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

14135984 is an abundant number, since it is smaller than the sum of its proper divisors (14790736).

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

14135984 is a wasteful number, since it uses less digits than its factorization.

14135984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 14135984 is about 3759.7851002418. The cubic root of 14135984 is about 241.7920486648.

The spelling of 14135984 in words is "fourteen million, one hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 46 92 107 184 214 359 368 428 718 856 1436 1712 2461 2872 4922 5744 8257 9844 16514 19688 33028 38413 39376 66056 76826 132112 153652 307304 614608 883499 1766998 3533996 7067992 14135984