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12131860 = 22513291609
BaseRepresentation
bin101110010001…
…111000010100
3211211100210011
4232101320110
511101204420
61112010004
7205055566
oct56217024
924740704
1012131860
116936934
124090904
13268a020
14187b336
1510e995a
hexb91e14

12131860 has 48 divisors (see below), whose sum is σ = 28400400. Its totient is φ = 4322304.

The previous prime is 12131849. The next prime is 12131909. The reversal of 12131860 is 6813121.

12131860 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 49284 + 12082576 = 222^2 + 3476^2 .

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 15 ways as a sum of consecutive naturals, for example, 6736 + ... + 8344.

It is an arithmetic number, because the mean of its divisors is an integer number (591675).

Almost surely, 212131860 is an apocalyptic number.

12131860 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 12131860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200200).

12131860 is an abundant number, since it is smaller than the sum of its proper divisors (16268540).

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

12131860 is a wasteful number, since it uses less digits than its factorization.

12131860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12131860 is about 3483.0819686019. The cubic root of 12131860 is about 229.7783624188.

Adding to 12131860 its reverse (6813121), we get a palindrome (18944981).

The spelling of 12131860 in words is "twelve million, one hundred thirty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1609 1885 3218 3770 6436 7540 8045 16090 20917 32180 41834 46661 83668 93322 104585 186644 209170 233305 418340 466610 606593 933220 1213186 2426372 3032965 6065930 12131860