Search a number
-
+
141816 = 23319311
BaseRepresentation
bin100010100111111000
321012112110
4202213320
514014231
63012320
71130313
oct424770
9235473
10141816
1197604
126a0a0
134c71c
143997a
152c046
hex229f8

141816 has 32 divisors (see below), whose sum is σ = 374400. Its totient is φ = 44640.

The previous prime is 141811. The next prime is 141829. The reversal of 141816 is 618141.

141816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1418162 = 40223555712, which contains 22 as substring.

It is a nude number because it is divisible by every one 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 = 141792 and 141801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141811) by changing a digit.

141816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2141816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

141816 is an abundant number, since it is smaller than the sum of its proper divisors (232584).

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

141816 is a wasteful number, since it uses less digits than its factorization.

141816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 141816 is about 376.5846518381. The cubic root of 141816 is about 52.1484907548.

Adding to 141816 its reverse (618141), we get a palindrome (759957).

It can be divided in two parts, 14 and 1816, that added together give a triangular number (1830 = T60).

The spelling of 141816 in words is "one hundred forty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 311 456 622 933 1244 1866 2488 3732 5909 7464 11818 17727 23636 35454 47272 70908 141816