Search a number
-
+
14185296 = 2432234283
BaseRepresentation
bin110110000111…
…001101010000
3222200200120100
4312013031100
512112412141
61224012400
7231400356
oct66071520
928620510
1014185296
118009694
124901100
132c28888
141c537d6
1513a30b6
hexd87350

14185296 has 60 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 4521792.

The previous prime is 14185279. The next prime is 14185309. The reversal of 14185296 is 69258141.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (17280) is a multiple of the sum of its prime factors (4320).

It is a self number, because there is not a number n which added to its sum of digits gives 14185296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171 + ... + 5453.

Almost surely, 214185296 is an apocalyptic number.

14185296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14185296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424).

14185296 is an abundant number, since it is smaller than the sum of its proper divisors (27249552).

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

14185296 is a wasteful number, since it uses less digits than its factorization.

14185296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4311 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14185296 is about 3766.3372127307. The cubic root of 14185296 is about 242.0728783533.

The spelling of 14185296 in words is "fourteen million, one hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 4283 8566 12849 17132 25698 34264 38547 51396 68528 77094 98509 102792 154188 197018 205584 295527 308376 394036 591054 616752 788072 886581 1182108 1576144 1773162 2364216 3546324 4728432 7092648 14185296