Search a number
-
+
14421312 = 263225037
BaseRepresentation
bin110111000000…
…110101000000
31000010200022200
4313000311000
512142440222
61233033200
7233402433
oct67006500
930120280
1014421312
11815aa44
1249b5800
132cac129
141cb581a
1513eceac
hexdc0d40

14421312 has 42 divisors (see below), whose sum is σ = 41337738. Its totient is φ = 4806912.

The previous prime is 14421301. The next prime is 14421313. The reversal of 14421312 is 21312441.

It can be written as a sum of positive squares in only one way, i.e., 12278016 + 2143296 = 3504^2 + 1464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14421313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11943 + ... + 13094.

Almost surely, 214421312 is an apocalyptic number.

14421312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14421312 is an abundant number, since it is smaller than the sum of its proper divisors (26916426).

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

14421312 is a wasteful number, since it uses less digits than its factorization.

14421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25055 (or 25042 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14421312 is about 3797.5402565345. The cubic root of 14421312 is about 243.4080427800.

Adding to 14421312 its reverse (21312441), we get a palindrome (35733753).

The spelling of 14421312 in words is "fourteen million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 25037 50074 75111 100148 150222 200296 225333 300444 400592 450666 600888 801184 901332 1201776 1602368 1802664 2403552 3605328 4807104 7210656 14421312