Search a number
-
+
14660000 = 2554733
BaseRepresentation
bin110111111011…
…000110100000
31000120210201222
4313323012200
512223110000
61242114212
7235415345
oct67730640
930523658
1014660000
118303303
124aab968
133063974
141d387cc
151448a85
hexdfb1a0

14660000 has 60 divisors (see below), whose sum is σ = 36115002. Its totient is φ = 5856000.

The previous prime is 14659949. The next prime is 14660003. The reversal of 14660000 is 6641.

It can be written as a sum of positive squares in 5 ways, for example, as 2521744 + 12138256 = 1588^2 + 3484^2 .

It is not an unprimeable number, because it can be changed into a prime (14660003) 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, 19634 + ... + 20366.

Almost surely, 214660000 is an apocalyptic number.

14660000 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 14660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057501).

14660000 is an abundant number, since it is smaller than the sum of its proper divisors (21455002).

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

14660000 is an frugal number, since it uses more digits than its factorization.

14660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 14660000 is about 3828.8379438153. The cubic root of 14660000 is about 244.7435884654.

Adding to 14660000 its reverse (6641), we get a palindrome (14666641).

The spelling of 14660000 in words is "fourteen million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 733 800 1000 1250 1466 2000 2500 2932 3665 4000 5000 5864 7330 10000 11728 14660 18325 20000 23456 29320 36650 58640 73300 91625 117280 146600 183250 293200 366500 458125 586400 733000 916250 1466000 1832500 2932000 3665000 7330000 14660000