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12300040 = 23561712
BaseRepresentation
bin101110111010…
…111100001000
3212010220111001
4232322330020
511122100130
61115344344
7206356114
oct56727410
925126431
1012300040
116a41225
1241520b4
13271873c
1418c2744
15112e6ca
hexbbaf08

12300040 has 48 divisors (see below), whose sum is σ = 28530540. Its totient is φ = 4771200.

The previous prime is 12300037. The next prime is 12300047. The reversal of 12300040 is 4000321.

It can be written as a sum of positive squares in 2 ways, for example, as 10666756 + 1633284 = 3266^2 + 1278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12300047) 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 11 ways as a sum of consecutive naturals, for example, 173205 + ... + 173275.

Almost surely, 212300040 is an apocalyptic number.

12300040 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 12300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265270).

12300040 is an abundant number, since it is smaller than the sum of its proper divisors (16230500).

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

12300040 is an equidigital number, since it uses as much as digits as its factorization.

12300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12300040 is about 3507.1412860049. The cubic root of 12300040 is about 230.8352742028.

Adding to 12300040 its reverse (4000321), we get a palindrome (16300361).

The spelling of 12300040 in words is "twelve million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 71 122 142 244 284 305 355 488 568 610 710 1220 1420 2440 2840 4331 5041 8662 10082 17324 20164 21655 25205 34648 40328 43310 50410 86620 100820 173240 201640 307501 615002 1230004 1537505 2460008 3075010 6150020 12300040