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12342420 = 22325191359
BaseRepresentation
bin101111000101…
…010010010100
3212020001121200
4233011102110
511124424140
61120312500
7206623506
oct57052224
925201550
1012342420
116a70052
124172730
132731b0c
1418d3d76
15113c030
hexbc5494

12342420 has 72 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3264960.

The previous prime is 12342409. The next prime is 12342437. The reversal of 12342420 is 2424321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12342393 and 12342402.

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 23 ways as a sum of consecutive naturals, for example, 34201 + ... + 34559.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 212342420 is an apocalyptic number.

12342420 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 12342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12342420 is an abundant number, since it is smaller than the sum of its proper divisors (25397100).

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

12342420 is a wasteful number, since it uses less digits than its factorization.

12342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12342420 is about 3513.1780484342. The cubic root of 12342420 is about 231.1000859372.

Adding to 12342420 its reverse (2424321), we get a palindrome (14766741).

The spelling of 12342420 in words is "twelve million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 359 382 573 718 764 955 1077 1146 1436 1719 1795 1910 2154 2292 2865 3231 3438 3590 3820 4308 5385 5730 6462 6876 7180 8595 10770 11460 12924 16155 17190 21540 32310 34380 64620 68569 137138 205707 274276 342845 411414 617121 685690 822828 1028535 1234242 1371380 2057070 2468484 3085605 4114140 6171210 12342420