Search a number
-
+
14130500 = 225359479
BaseRepresentation
bin110101111001…
…110101000100
3222120220101212
4311321311010
512104134000
61222510552
7231051536
oct65716504
928526355
1014130500
117a814aa
124895458
132c09957
141c3b856
151391c35
hexd79d44

14130500 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 5544800.

The previous prime is 14130499. The next prime is 14130517. The reversal of 14130500 is 503141.

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, 29261 + ... + 29739.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 214130500 is an apocalyptic number.

14130500 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 14130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

14130500 is an abundant number, since it is smaller than the sum of its proper divisors (17319100).

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

14130500 is a wasteful number, since it uses less digits than its factorization.

14130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 14130500 is about 3759.0557324945. The cubic root of 14130500 is about 241.7607771924.

Adding to 14130500 its reverse (503141), we get a palindrome (14633641).

The spelling of 14130500 in words is "fourteen million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 236 250 295 479 500 590 958 1180 1475 1916 2395 2950 4790 5900 7375 9580 11975 14750 23950 28261 29500 47900 56522 59875 113044 119750 141305 239500 282610 565220 706525 1413050 2826100 3532625 7065250 14130500