Search a number
-
+
142240332 = 223131138069
BaseRepresentation
bin10000111101001…
…10101001001100
3100220122120001110
420132212221030
5242403142312
622040412020
73345010563
oct1036465114
9326576043
10142240332
11733222a3
123b777010
1323612ca0
1414c68bda
15c74a43c
hex87a6a4c

142240332 has 48 divisors (see below), whose sum is σ = 360632160. Its totient is φ = 43373568.

The previous prime is 142240297. The next prime is 142240361. The reversal of 142240332 is 233042241.

It is a junction number, because it is equal to n+sod(n) for n = 142240299 and 142240308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13594 + ... + 21662.

It is an arithmetic number, because the mean of its divisors is an integer number (7513170).

Almost surely, 2142240332 is an apocalyptic number.

142240332 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 142240332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180316080).

142240332 is an abundant number, since it is smaller than the sum of its proper divisors (218391828).

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

142240332 is a wasteful number, since it uses less digits than its factorization.

142240332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 142240332 is about 11926.4551313456. The cubic root of 142240332 is about 522.0045066477.

Adding to 142240332 its reverse (233042241), we get a palindrome (375282573).

The spelling of 142240332 in words is "one hundred forty-two million, two hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 1356 1469 2938 4407 5876 8069 8814 16138 17628 24207 32276 48414 96828 104897 209794 314691 419588 629382 911797 1258764 1823594 2735391 3647188 5470782 10941564 11853361 23706722 35560083 47413444 71120166 142240332