Search a number
-
+
14710000 = 24541471
BaseRepresentation
bin111000000111…
…010011110000
31000200100022211
4320013103300
512231210000
61243141504
7236014204
oct70072360
930610284
1014710000
118337928
124b14894
133080656
141d4cb04
1514587ba
hexe074f0

14710000 has 50 divisors (see below), whose sum is σ = 35638592. Its totient is φ = 5880000.

The previous prime is 14709997. The next prime is 14710019. The reversal of 14710000 is 1741.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×147100003 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9265 + ... + 10735.

Almost surely, 214710000 is an apocalyptic number.

14710000 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 14710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819296).

14710000 is an abundant number, since it is smaller than the sum of its proper divisors (20928592).

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

14710000 is an equidigital number, since it uses as much as digits as its factorization.

14710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 14710000 is about 3835.3617821530. The cubic root of 14710000 is about 245.0215169218.

Adding to 14710000 its reverse (1741), we get a palindrome (14711741).

The spelling of 14710000 in words is "fourteen million, seven hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1471 2000 2500 2942 5000 5884 7355 10000 11768 14710 23536 29420 36775 58840 73550 117680 147100 183875 294200 367750 588400 735500 919375 1471000 1838750 2942000 3677500 7355000 14710000