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32141142 = 23211271599
BaseRepresentation
bin111101010011…
…0111101010110
32020110221100200
41322212331112
531212004032
63104521330
7540123645
oct172467526
966427320
1032141142
1117163130
12a920246
136874737
1443a935c
152c4d47c
hex1ea6f56

32141142 has 48 divisors (see below), whose sum is σ = 76377600. Its totient is φ = 9687600.

The previous prime is 32141117. The next prime is 32141147. The reversal of 32141142 is 24114123.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141147) 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, 53359 + ... + 53957.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 232141142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32141142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38188800).

32141142 is an abundant number, since it is smaller than the sum of its proper divisors (44236458).

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

32141142 is a wasteful number, since it uses less digits than its factorization.

32141142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 886 counting only the distinct ones).

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

The square root of 32141142 is about 5669.3158317384. The cubic root of 32141142 is about 317.9462944786.

Adding to 32141142 its reverse (24114123), we get a palindrome (56255265).

It can be divided in two parts, 3214 and 1142, that added together give a square (4356 = 662).

The spelling of 32141142 in words is "thirty-two million, one hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 271 542 599 813 1198 1626 1797 2439 2981 3594 4878 5391 5962 6589 8943 10782 13178 17886 19767 26829 39534 53658 59301 118602 162329 324658 486987 973974 1460961 1785619 2921922 3571238 5356857 10713714 16070571 32141142