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12301320 = 2335234457
BaseRepresentation
bin101110111011…
…010000001000
3212010222020110
4232323100020
511122120240
61115354320
7206362623
oct56732010
925128213
1012301320
116a42189
1241529a0
1327191b5
1418c2dba
15112ec80
hexbbb408

12301320 has 64 divisors (see below), whose sum is σ = 38517120. Its totient is φ = 3137024.

The previous prime is 12301309. The next prime is 12301339. The reversal of 12301320 is 2310321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12301296 and 12301305.

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, 532 + ... + 4988.

It is an arithmetic number, because the mean of its divisors is an integer number (601830).

Almost surely, 212301320 is an apocalyptic number.

12301320 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 12301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19258560).

12301320 is an abundant number, since it is smaller than the sum of its proper divisors (26215800).

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

12301320 is a wasteful number, since it uses less digits than its factorization.

12301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12301320 is about 3507.3237660644. The cubic root of 12301320 is about 230.8432811930.

Adding to 12301320 its reverse (2310321), we get a palindrome (14611641).

Subtracting from 12301320 its reverse (2310321), we obtain a palindrome (9990999).

It can be divided in two parts, 12301 and 320, that added together give a palindrome (12621).

The spelling of 12301320 in words is "twelve million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4457 8914 13371 17828 22285 26742 35656 44570 53484 66855 89140 102511 106968 133710 178280 205022 267420 307533 410044 512555 534840 615066 820088 1025110 1230132 1537665 2050220 2460264 3075330 4100440 6150660 12301320