Search a number
-
+
14424500 = 2253171697
BaseRepresentation
bin110111000001…
…100110110100
31000010211200202
4313001212310
512143041000
61233100032
7233414636
oct67014664
930124622
1014424500
118162382
1249b7618
132cb070c
141cb6a56
1513eddd5
hexdc19b4

14424500 has 48 divisors (see below), whose sum is σ = 33375888. Its totient is φ = 5427200.

The previous prime is 14424499. The next prime is 14424521. The reversal of 14424500 is 542441.

14424500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 376996 + 14047504 = 614^2 + 3748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7652 + ... + 9348.

It is an arithmetic number, because the mean of its divisors is an integer number (695331).

Almost surely, 214424500 is an apocalyptic number.

14424500 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 14424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687944).

14424500 is an abundant number, since it is smaller than the sum of its proper divisors (18951388).

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

14424500 is a wasteful number, since it uses less digits than its factorization.

14424500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 14424500 is about 3797.9599787254. The cubic root of 14424500 is about 243.4259775252.

Adding to 14424500 its reverse (542441), we get a palindrome (14966941).

The spelling of 14424500 in words is "fourteen million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1697 1700 2125 3394 4250 6788 8485 8500 16970 28849 33940 42425 57698 84850 115396 144245 169700 212125 288490 424250 576980 721225 848500 1442450 2884900 3606125 7212250 14424500