Search a number
-
+
142140 = 223523103
BaseRepresentation
bin100010101100111100
321012222110
4202230330
514022030
63014020
71131255
oct425474
9235873
10142140
1197879
126a310
134c90b
1439b2c
152c1b0
hex22b3c

142140 has 48 divisors (see below), whose sum is σ = 419328. Its totient is φ = 35904.

The previous prime is 142123. The next prime is 142151. The reversal of 142140 is 41241.

142140 is nontrivially palindromic in base 11.

142140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 142140.

It is an unprimeable number.

142140 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 15 ways as a sum of consecutive naturals, for example, 1329 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2142140 is an apocalyptic number.

142140 is a gapful number since it is divisible by the number (10) 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 142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

142140 is an abundant number, since it is smaller than the sum of its proper divisors (277188).

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

142140 is a wasteful number, since it uses less digits than its factorization.

142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142140 is about 377.0145885772. The cubic root of 142140 is about 52.1881742416.

Adding to 142140 its reverse (41241), we get a palindrome (183381).

It can be divided in two parts, 142 and 140, that added together give a palindrome (282).

The spelling of 142140 in words is "one hundred forty-two thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 103 115 138 206 230 276 309 345 412 460 515 618 690 1030 1236 1380 1545 2060 2369 3090 4738 6180 7107 9476 11845 14214 23690 28428 35535 47380 71070 142140