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141216 = 2531471
BaseRepresentation
bin100010011110100000
321011201020
4202132200
514004331
63005440
71125465
oct423640
9234636
10141216
1197109
1269880
134c37a
143966c
152bc96
hex227a0

141216 has 24 divisors (see below), whose sum is σ = 370944. Its totient is φ = 47040.

The previous prime is 141209. The next prime is 141221. The reversal of 141216 is 612141.

It is a tau number, because it is divible by the number of its divisors (24).

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 an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 141195 and 141204.

It is an unprimeable number.

141216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (15456).

2141216 is an apocalyptic number.

141216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141216 is an abundant number, since it is smaller than the sum of its proper divisors (229728).

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

141216 is a wasteful number, since it uses less digits than its factorization.

141216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 141216 is about 375.7871738099. The cubic root of 141216 is about 52.0748429182.

Adding to 141216 its reverse (612141), we get a palindrome (753357).

The spelling of 141216 in words is "one hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1471 2942 4413 5884 8826 11768 17652 23536 35304 47072 70608 141216