Search a number
-
+
12332988 = 22323747197
BaseRepresentation
bin101111000010…
…111110111100
3212012120200100
4233002332330
511124123423
61120201100
7206554143
oct57027674
925176610
1012332988
116a63a58
124169190
13272a735
1418d075a
151139343
hexbc2fbc

12332988 has 72 divisors (see below), whose sum is σ = 32864832. Its totient is φ = 3894912.

The previous prime is 12332981. The next prime is 12332989. The reversal of 12332988 is 88923321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332981) 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, 62506 + ... + 62702.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 212332988 is an apocalyptic number.

12332988 is a gapful number since it is divisible by the number (18) 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 12332988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432416).

12332988 is an abundant number, since it is smaller than the sum of its proper divisors (20531844).

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

12332988 is a wasteful number, since it uses less digits than its factorization.

12332988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12332988 is about 3511.8354175559. The cubic root of 12332988 is about 231.0412025228.

The spelling of 12332988 in words is "twelve million, three hundred thirty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 197 222 282 333 394 423 444 564 591 666 788 846 1182 1332 1692 1739 1773 2364 3478 3546 5217 6956 7092 7289 9259 10434 14578 15651 18518 20868 21867 27777 29156 31302 37036 43734 55554 62604 65601 83331 87468 111108 131202 166662 262404 333324 342583 685166 1027749 1370332 2055498 3083247 4110996 6166494 12332988