Search a number
-
+
12342582 = 2327234259
BaseRepresentation
bin101111000101…
…010100110110
3212020001211200
4233011110312
511124430312
61120313330
7206624130
oct57052466
925201750
1012342582
116a7018a
124172846
132731c05
1418d4050
15113c0dc
hexbc5536

12342582 has 48 divisors (see below), whose sum is σ = 31898880. Its totient is φ = 3372336.

The previous prime is 12342553. The next prime is 12342601. The reversal of 12342582 is 28524321.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 769 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (664560).

Almost surely, 212342582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949440).

12342582 is an abundant number, since it is smaller than the sum of its proper divisors (19556298).

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

12342582 is a wasteful number, since it uses less digits than its factorization.

12342582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4294 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12342582 is about 3513.2011044061. The cubic root of 12342582 is about 231.1010970314.

The spelling of 12342582 in words is "twelve million, three hundred forty-two thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 4259 8518 12777 25554 29813 38331 59626 76662 89439 97957 178878 195914 268317 293871 536634 587742 685699 881613 1371398 1763226 2057097 4114194 6171291 12342582