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12332140 = 22517192383
BaseRepresentation
bin101111000010…
…110001101100
3212012112111221
4233002301230
511124112030
61120153124
7206551522
oct57026154
925175457
1012332140
116a63357
1241687a4
13272a232
1418d0312
151138e7a
hexbc2c6c

12332140 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4156416.

The previous prime is 12332129. The next prime is 12332143. The reversal of 12332140 is 4123321.

It is a happy number.

12332140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12332143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148539 + ... + 148621.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 212332140 is an apocalyptic number.

12332140 is a gapful number since it is divisible by the number (10) 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 12332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12332140 is an abundant number, since it is smaller than the sum of its proper divisors (18149780).

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

12332140 is a wasteful number, since it uses less digits than its factorization.

12332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 12332140 is about 3511.7146808931. The cubic root of 12332140 is about 231.0359070386.

Adding to 12332140 its reverse (4123321), we get a palindrome (16455461).

The spelling of 12332140 in words is "twelve million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 23 34 38 46 68 76 83 85 92 95 115 166 170 190 230 323 332 340 380 391 415 437 460 646 782 830 874 1292 1411 1564 1577 1615 1660 1748 1909 1955 2185 2822 3154 3230 3818 3910 4370 5644 6308 6460 7055 7429 7636 7820 7885 8740 9545 14110 14858 15770 19090 26809 28220 29716 31540 32453 36271 37145 38180 53618 64906 72542 74290 107236 129812 134045 145084 148580 162265 181355 268090 324530 362710 536180 616607 649060 725420 1233214 2466428 3083035 6166070 12332140