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12332142 = 2334347113
BaseRepresentation
bin101111000010…
…110001101110
3212012112112000
4233002301232
511124112032
61120153130
7206551524
oct57026156
925175460
1012332142
116a63359
1241687a6
13272a234
1418d0314
151138e7c
hexbc2c6e

12332142 has 64 divisors (see below), whose sum is σ = 28892160. Its totient is φ = 3894912.

The previous prime is 12332129. The next prime is 12332143. The reversal of 12332142 is 24123321.

It is a super-3 number, since 3×123321423 (a number of 22 digits) contains 333 as substring.

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 (12332143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109078 + ... + 109190.

It is an arithmetic number, because the mean of its divisors is an integer number (451440).

Almost surely, 212332142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446080).

12332142 is an abundant number, since it is smaller than the sum of its proper divisors (16560018).

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

12332142 is a wasteful number, since it uses less digits than its factorization.

12332142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

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

The square root of 12332142 is about 3511.7149656542. The cubic root of 12332142 is about 231.0359195282.

Adding to 12332142 its reverse (24123321), we get a palindrome (36455463).

It can be divided in two parts, 1233 and 2142, that added together give a cube (3375 = 153).

The spelling of 12332142 in words is "twelve million, three hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 47 54 86 94 113 129 141 226 258 282 339 387 423 678 774 846 1017 1161 1269 2021 2034 2322 2538 3051 4042 4859 5311 6063 6102 9718 10622 12126 14577 15933 18189 29154 31866 36378 43731 47799 54567 87462 95598 109134 131193 143397 228373 262386 286794 456746 685119 1370238 2055357 4110714 6166071 12332142