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12131418 = 2313433617
BaseRepresentation
bin101110010001…
…110001011010
3211211100011210
4232101301122
511101201133
61112003550
7205054365
oct56216132
924740153
1012131418
116936572
1240905b6
132689a70
14187b0dc
1510e9763
hexb91c5a

12131418 has 32 divisors (see below), whose sum is σ = 26744256. Its totient is φ = 3644928.

The previous prime is 12131417. The next prime is 12131429. The reversal of 12131418 is 81413121.

It is a happy number.

12131418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12131394 and 12131403.

It is not an unprimeable number, because it can be changed into a prime (12131417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 5162.

It is an arithmetic number, because the mean of its divisors is an integer number (835758).

Almost surely, 212131418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372128).

12131418 is an abundant number, since it is smaller than the sum of its proper divisors (14612838).

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

12131418 is a wasteful number, since it uses less digits than its factorization.

12131418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678.

The product of its digits is 192, while the sum is 21.

The square root of 12131418 is about 3483.0185184693. The cubic root of 12131418 is about 229.7755718803.

Adding to 12131418 its reverse (81413121), we get a palindrome (93544539).

The spelling of 12131418 in words is "twelve million, one hundred thirty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 3354 3617 7234 10851 21702 47021 94042 141063 155531 282126 311062 466593 933186 2021903 4043806 6065709 12131418