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142332 = 22329409
BaseRepresentation
bin100010101111111100
321020020120
4202233330
514023312
63014540
71131651
oct425774
9236216
10142332
1197a33
126a450
134ca28
1439c28
152c28c
hex22bfc

142332 has 24 divisors (see below), whose sum is σ = 344400. Its totient is φ = 45696.

The previous prime is 142327. The next prime is 142357. The reversal of 142332 is 233241.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142332.

It is an unprimeable number.

142332 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (14350).

2142332 is an apocalyptic number.

142332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172200).

142332 is an abundant number, since it is smaller than the sum of its proper divisors (202068).

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

142332 is a wasteful number, since it uses less digits than its factorization.

142332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 142332 is about 377.2691347036. The cubic root of 142332 is about 52.2116619325.

Adding to 142332 its reverse (233241), we get a palindrome (375573).

Subtracting 142332 from its reverse (233241), we obtain a palindrome (90909).

It can be divided in two parts, 142 and 332, that added together give a palindrome (474).

The spelling of 142332 in words is "one hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 409 818 1227 1636 2454 4908 11861 23722 35583 47444 71166 142332