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632142 = 232729173
BaseRepresentation
bin10011010010101001110
31012010010200
42122111032
5130212032
621314330
75241660
oct2322516
91163120
10632142
113a1a35
122659a6
13191964
14126530
15c747c
hex9a54e

632142 has 48 divisors (see below), whose sum is σ = 1628640. Its totient is φ = 173376.

The previous prime is 632141. The next prime is 632147. The reversal of 632142 is 241236.

It is a happy number.

632142 is nontrivially palindromic in base 15.

632142 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 (18).

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 632142.

It is not an unprimeable number, because it can be changed into a prime (632141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3568 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (33930).

2632142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814320).

632142 is an abundant number, since it is smaller than the sum of its proper divisors (996498).

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

632142 is a wasteful number, since it uses less digits than its factorization.

632142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 632142 is about 795.0735815005. The cubic root of 632142 is about 85.8232352675.

Adding to 632142 its reverse (241236), we get a palindrome (873378).

The spelling of 632142 in words is "six hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 173 174 203 261 346 406 519 522 609 1038 1211 1218 1557 1827 2422 3114 3633 3654 5017 7266 10034 10899 15051 21798 30102 35119 45153 70238 90306 105357 210714 316071 632142