Search a number
-
+
142116 = 22313911
BaseRepresentation
bin100010101100100100
321012221120
4202230210
514021431
63013540
71131222
oct425444
9235846
10142116
1197857
126a2b0
134c8c0
1439b12
152c196
hex22b24

142116 has 24 divisors (see below), whose sum is σ = 357504. Its totient is φ = 43680.

The previous prime is 142111. The next prime is 142123. The reversal of 142116 is 611241.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142095 and 142104.

It is not an unprimeable number, because it can be changed into a prime (142111) by changing a digit.

142116 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 7 ways as a sum of consecutive naturals, for example, 300 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2142116 is an apocalyptic number.

It is an amenable number.

142116 is an abundant number, since it is smaller than the sum of its proper divisors (215388).

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

142116 is a wasteful number, since it uses less digits than its factorization.

142116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

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

The square root of 142116 is about 376.9827582264. The cubic root of 142116 is about 52.1852367933.

Adding to 142116 its reverse (611241), we get a palindrome (753357).

The spelling of 142116 in words is "one hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 911 1822 2733 3644 5466 10932 11843 23686 35529 47372 71058 142116