Search a number
-
+
14283984 = 24311132081
BaseRepresentation
bin110110011111…
…010011010000
3222212200221110
4312133103100
512124041414
61230053320
7232261161
oct66372320
928780843
1014283984
118076850
12494a240
132c61780
141c7b768
1513c2459
hexd9f4d0

14283984 has 80 divisors (see below), whose sum is σ = 43372224. Its totient is φ = 3993600.

The previous prime is 14283917. The next prime is 14284001. The reversal of 14283984 is 48938241.

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

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 15 ways as a sum of consecutive naturals, for example, 5824 + ... + 7904.

Almost surely, 214283984 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 14283984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686112).

14283984 is an abundant number, since it is smaller than the sum of its proper divisors (29088240).

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

14283984 is a wasteful number, since it uses less digits than its factorization.

14283984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 14283984 is about 3779.4158278760. The cubic root of 14283984 is about 242.6329536281.

The spelling of 14283984 in words is "fourteen million, two hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2081 2288 3432 4162 6243 6864 8324 12486 16648 22891 24972 27053 33296 45782 49944 54106 68673 81159 91564 99888 108212 137346 162318 183128 216424 274692 297583 324636 366256 432848 549384 595166 649272 892749 1098768 1190332 1298544 1785498 2380664 3570996 4761328 7141992 14283984