Search a number
-
+
14685280 = 255175399
BaseRepresentation
bin111000000001…
…010001100000
31000122002102021
4320001101200
512224412110
61242431224
7235552141
oct70012140
930562367
1014685280
1183202a5
124b02514
13307231c
141d43ac8
1514512da
hexe01460

14685280 has 48 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 5527552.

The previous prime is 14685241. The next prime is 14685283. The reversal of 14685280 is 8258641.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14685283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 5419.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 214685280 is an apocalyptic number.

14685280 is a gapful number since it is divisible by the number (10) 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 14685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370800).

14685280 is an abundant number, since it is smaller than the sum of its proper divisors (22056320).

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

14685280 is a wasteful number, since it uses less digits than its factorization.

14685280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 14685280 is about 3832.1377845793. The cubic root of 14685280 is about 244.8841879407.

The spelling of 14685280 in words is "fourteen million, six hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 5399 10798 21596 26995 43192 53990 86384 91783 107980 172768 183566 215960 367132 431920 458915 734264 863840 917830 1468528 1835660 2937056 3671320 7342640 14685280