Search a number
-
+
14341460 = 2257891151
BaseRepresentation
bin110110101101…
…010101010100
3222222121210012
4312231111110
512132411320
61231215352
7232620560
oct66552524
928877705
1014341460
118105a51
124977558
132c81993
141c946a0
1513d44c5
hexdad554

14341460 has 48 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4857600.

The previous prime is 14341451. The next prime is 14341463. The reversal of 14341460 is 6414341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14341463) 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 15 ways as a sum of consecutive naturals, for example, 11885 + ... + 13035.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 214341460 is an apocalyptic number.

14341460 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 14341460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

14341460 is an abundant number, since it is smaller than the sum of its proper divisors (20495020).

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

14341460 is a wasteful number, since it uses less digits than its factorization.

14341460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 14341460 is about 3787.0120147684. The cubic root of 14341460 is about 242.9579541923.

The spelling of 14341460 in words is "fourteen million, three hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1151 1246 1780 2302 2492 3115 4604 5755 6230 8057 11510 12460 16114 23020 32228 40285 80570 102439 161140 204878 409756 512195 717073 1024390 1434146 2048780 2868292 3585365 7170730 14341460