Search a number
-
+
14477380 = 22529109229
BaseRepresentation
bin110111001110…
…100001000100
31000020112020021
4313032201010
512201234010
61234144524
7234025051
oct67164104
930215207
1014477380
118199085
124a22144
132ccb7c8
141ccc028
15140e8da
hexdce844

14477380 has 48 divisors (see below), whose sum is σ = 31878000. Its totient is φ = 5515776.

The previous prime is 14477377. The next prime is 14477381. The reversal of 14477380 is 8377441.

It can be written as a sum of positive squares in 8 ways, for example, as 1285956 + 13191424 = 1134^2 + 3632^2 .

It is not an unprimeable number, because it can be changed into a prime (14477381) 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 15 ways as a sum of consecutive naturals, for example, 63106 + ... + 63334.

It is an arithmetic number, because the mean of its divisors is an integer number (664125).

Almost surely, 214477380 is an apocalyptic number.

14477380 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 14477380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15939000).

14477380 is an abundant number, since it is smaller than the sum of its proper divisors (17400620).

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

14477380 is a wasteful number, since it uses less digits than its factorization.

14477380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 14477380 is about 3804.9152421572. The cubic root of 14477380 is about 243.7230800864.

The spelling of 14477380 in words is "fourteen million, four hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 109 116 145 218 229 290 436 458 545 580 916 1090 1145 2180 2290 3161 4580 6322 6641 12644 13282 15805 24961 26564 31610 33205 49922 63220 66410 99844 124805 132820 249610 499220 723869 1447738 2895476 3619345 7238690 14477380