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146142 = 23223353
BaseRepresentation
bin100011101011011110
321102110200
4203223132
514134032
63044330
71146033
oct435336
9242420
10146142
119a887
12706a6
1351699
143b38a
152d47c
hex23ade

146142 has 24 divisors (see below), whose sum is σ = 331344. Its totient is φ = 46464.

The previous prime is 146141. The next prime is 146161. The reversal of 146142 is 241641.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

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 146142.

It is not an unprimeable number, because it can be changed into a prime (146141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 238 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (13806).

2146142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165672).

146142 is an abundant number, since it is smaller than the sum of its proper divisors (185202).

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

146142 is a wasteful number, since it uses less digits than its factorization.

146142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 146142 is about 382.2852338242. The cubic root of 146142 is about 52.6734399948.

Adding to 146142 its reverse (241641), we get a palindrome (387783).

The spelling of 146142 in words is "one hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 353 414 706 1059 2118 3177 6354 8119 16238 24357 48714 73071 146142