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12322140 = 2235415009
BaseRepresentation
bin101111000000…
…010101011100
3212012000210120
4233000111130
511123302030
61120034540
7206510415
oct57002534
925160716
1012322140
116a56896
124162a50
13272580c
1418ca80c
151136010
hexbc055c

12322140 has 48 divisors (see below), whose sum is σ = 35350560. Its totient is φ = 3205120.

The previous prime is 12322109. The next prime is 12322169. The reversal of 12322140 is 4122321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (736470).

Almost surely, 212322140 is an apocalyptic number.

12322140 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 12322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675280).

12322140 is an abundant number, since it is smaller than the sum of its proper divisors (23028420).

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

12322140 is a wasteful number, since it uses less digits than its factorization.

12322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12322140 is about 3510.2905862621. The cubic root of 12322140 is about 230.9734419721.

Adding to 12322140 its reverse (4122321), we get a palindrome (16444461).

The spelling of 12322140 in words is "twelve million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 5009 10018 15027 20036 25045 30054 50090 60108 75135 100180 150270 205369 300540 410738 616107 821476 1026845 1232214 2053690 2464428 3080535 4107380 6161070 12322140