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14163984 = 24353643
BaseRepresentation
bin110110000010…
…000000010000
3222122121100000
4312002000100
512111221414
61223330000
7231251262
oct66020020
928577300
1014163984
117aa467a
1248b0900
132c1bc73
141c49b32
15139bb09
hexd82010

14163984 has 60 divisors (see below), whose sum is σ = 41118896. Its totient is φ = 4720032.

The previous prime is 14163979. The next prime is 14163991. The reversal of 14163984 is 48936141.

14163984 is a `hidden beast` number, since 14 + 1 + 639 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2067 + ... + 5709.

Almost surely, 214163984 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 14163984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559448).

14163984 is an abundant number, since it is smaller than the sum of its proper divisors (26954912).

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

14163984 is an equidigital number, since it uses as much as digits as its factorization.

14163984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3648 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14163984 is about 3763.5068752428. The cubic root of 14163984 is about 241.9515874287.

The spelling of 14163984 in words is "fourteen million, one hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3643 3888 7286 10929 14572 21858 29144 32787 43716 58288 65574 87432 98361 131148 174864 196722 262296 295083 393444 524592 590166 786888 885249 1180332 1573776 1770498 2360664 3540996 4721328 7081992 14163984