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10131140 = 225617821
BaseRepresentation
bin100110101001…
…011011000100
3201001201022102
4212221123010
510043144030
61001051232
7152053565
oct46513304
921051272
1010131140
11579a748
123486b18
132139476
1414ba16c
15d51c45
hex9a96c4

10131140 has 24 divisors (see below), whose sum is σ = 21335832. Its totient is φ = 4040960.

The previous prime is 10131139. The next prime is 10131151. The reversal of 10131140 is 4113101.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 10023556 = 328^2 + 3166^2 .

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 7 ways as a sum of consecutive naturals, for example, 11930 + ... + 12750.

It is an arithmetic number, because the mean of its divisors is an integer number (888993).

Almost surely, 210131140 is an apocalyptic number.

10131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131140 is an abundant number, since it is smaller than the sum of its proper divisors (11204692).

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

10131140 is a wasteful number, since it uses less digits than its factorization.

10131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10131140 is about 3182.9451770334. The cubic root of 10131140 is about 216.3811571408.

Adding to 10131140 its reverse (4113101), we get a palindrome (14244241).

The spelling of 10131140 in words is "ten million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 617 821 1234 1642 2468 3085 3284 4105 6170 8210 12340 16420 506557 1013114 2026228 2532785 5065570 10131140