Search a number
-
+
14730336 = 25345683
BaseRepresentation
bin111000001100…
…010001100000
31000201101020000
4320030101200
512232332321
61243420000
7236130405
oct70142140
930641200
1014730336
118351135
124b24600
13308999a
141d562ac
15145e826
hexe0c460

14730336 has 60 divisors (see below), whose sum is σ = 43329132. Its totient is φ = 4909248.

The previous prime is 14730319. The next prime is 14730371. The reversal of 14730336 is 63303741.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 250 + ... + 5433.

Almost surely, 214730336 is an apocalyptic number.

14730336 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 14730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21664566).

14730336 is an abundant number, since it is smaller than the sum of its proper divisors (28598796).

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

14730336 is an equidigital number, since it uses as much as digits as its factorization.

14730336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 14730336 is about 3838.0119853904. The cubic root of 14730336 is about 245.1343758200.

The spelling of 14730336 in words is "fourteen million, seven hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5683 11366 17049 22732 34098 45464 51147 68196 90928 102294 136392 153441 181856 204588 272784 306882 409176 460323 545568 613764 818352 920646 1227528 1636704 1841292 2455056 3682584 4910112 7365168 14730336