Search a number
-
+
14130288 = 243410903
BaseRepresentation
bin110101111001…
…110001110000
3222120220010000
4311321301300
512104132123
61222510000
7231051114
oct65716160
928526100
1014130288
117a81327
124895300
132c09823
141c3b744
151391b43
hexd79c70

14130288 has 50 divisors (see below), whose sum is σ = 40900904. Its totient is φ = 4709664.

The previous prime is 14130287. The next prime is 14130293. The reversal of 14130288 is 88203141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130283) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4156 + ... + 6747.

Almost surely, 214130288 is an apocalyptic number.

14130288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14130288 is an abundant number, since it is smaller than the sum of its proper divisors (26770616).

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

14130288 is a wasteful number, since it uses less digits than its factorization.

14130288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10923 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14130288 is about 3759.0275338178. The cubic root of 14130288 is about 241.7595681401.

The spelling of 14130288 in words is "fourteen million, one hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10903 21806 32709 43612 65418 87224 98127 130836 174448 196254 261672 294381 392508 523344 588762 785016 883143 1177524 1570032 1766286 2355048 3532572 4710096 7065144 14130288