Search a number
-
+
141824 = 29277
BaseRepresentation
bin100010101000000000
321012112202
4202220000
514014244
63012332
71130324
oct425000
9235482
10141824
1197611
126a0a8
134c727
1439984
152c04e
hex22a00

141824 has 20 divisors (see below), whose sum is σ = 284394. Its totient is φ = 70656.

The previous prime is 141811. The next prime is 141829. The reversal of 141824 is 428141.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 6400 = 368^2 + 80^2 .

It is a super-2 number, since 2×1418242 = 40228093952, which contains 22 as substring.

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 nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 141796 and 141805.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 141824.

It is not an unprimeable number, because it can be changed into a prime (141829) by changing a digit.

141824 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 as a sum of consecutive naturals, namely, 374 + ... + 650.

2141824 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 141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142197).

141824 is an abundant number, since it is smaller than the sum of its proper divisors (142570).

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

141824 is an frugal number, since it uses more digits than its factorization.

141824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 141824 is about 376.5952734701. The cubic root of 141824 is about 52.1494713214.

Adding to 141824 its reverse (428141), we get a palindrome (569965).

The spelling of 141824 in words is "one hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1108 2216 4432 8864 17728 35456 70912 141824