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12135340 = 225732961
BaseRepresentation
bin101110010010…
…101110101100
3211211112120001
4232102232230
511101312330
61112034044
7205102000
oct56225654
924745501
1012135340
116939508
124092924
13268b799
14187c700
1510ea9ca
hexb92bac

12135340 has 96 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 3951360.

The previous prime is 12135337. The next prime is 12135349. The reversal of 12135340 is 4353121.

It is not an unprimeable number, because it can be changed into a prime (12135349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 198910 + ... + 198970.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 212135340 is an apocalyptic number.

12135340 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 12135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

12135340 is an abundant number, since it is smaller than the sum of its proper divisors (19112660).

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

12135340 is a wasteful number, since it uses less digits than its factorization.

12135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 12135340 is about 3483.5814903630. The cubic root of 12135340 is about 229.8003308077.

Adding to 12135340 its reverse (4353121), we get a palindrome (16488461).

The spelling of 12135340 in words is "twelve million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 61 70 98 116 122 140 145 196 203 244 245 290 305 343 406 427 490 580 610 686 812 854 980 1015 1220 1372 1421 1708 1715 1769 2030 2135 2842 2989 3430 3538 4060 4270 5684 5978 6860 7076 7105 8540 8845 9947 11956 12383 14210 14945 17690 19894 20923 24766 28420 29890 35380 39788 41846 49532 49735 59780 61915 83692 86681 99470 104615 123830 173362 198940 209230 247660 346724 418460 433405 606767 866810 1213534 1733620 2427068 3033835 6067670 12135340