Search a number
-
+
14730810 = 2352337577
BaseRepresentation
bin111000001100…
…011000111010
31000201101212120
4320030120322
512232341220
61243422110
7236131653
oct70143072
930641776
1014730810
118351526
124b24936
133089c73
141d5652a
15145ea40
hexe0c63a

14730810 has 64 divisors (see below), whose sum is σ = 37953792. Its totient is φ = 3649536.

The previous prime is 14730809. The next prime is 14730817. The reversal of 14730810 is 1803741.

14730810 = T269 + T270 + ... + T475.

It is a super-2 number, since 2×147308102 = 433993526512200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14730817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25242 + ... + 25818.

It is an arithmetic number, because the mean of its divisors is an integer number (593028).

Almost surely, 214730810 is an apocalyptic number.

14730810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14730810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18976896).

14730810 is an abundant number, since it is smaller than the sum of its proper divisors (23222982).

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

14730810 is a wasteful number, since it uses less digits than its factorization.

14730810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 14730810 is about 3838.0737356127. The cubic root of 14730810 is about 245.1370051433.

The spelling of 14730810 in words is "fourteen million, seven hundred thirty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 577 690 851 1110 1154 1702 1731 2553 2885 3462 4255 5106 5770 8510 8655 12765 13271 17310 21349 25530 26542 39813 42698 64047 66355 79626 106745 128094 132710 199065 213490 320235 398130 491027 640470 982054 1473081 2455135 2946162 4910270 7365405 14730810