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11137540 = 225975741
BaseRepresentation
bin101010011111…
…001000000100
3202221211211111
4222133020010
510322400130
61034414404
7163444651
oct52371004
922854744
1011137540
116317887
123891404
1323cc57b
14169cc28
15ea002a
hexa9f204

11137540 has 24 divisors (see below), whose sum is σ = 23634072. Its totient is φ = 4408320.

The previous prime is 11137531. The next prime is 11137541. The reversal of 11137540 is 4573111.

It can be written as a sum of positive squares in 4 ways, for example, as 948676 + 10188864 = 974^2 + 3192^2 .

It is not an unprimeable number, because it can be changed into a prime (11137541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931 + ... + 4810.

It is an arithmetic number, because the mean of its divisors is an integer number (984753).

Almost surely, 211137540 is an apocalyptic number.

11137540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11137540 is an abundant number, since it is smaller than the sum of its proper divisors (12496532).

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

11137540 is a wasteful number, since it uses less digits than its factorization.

11137540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 11137540 is about 3337.2953120753. The cubic root of 11137540 is about 223.3211002928.

The spelling of 11137540 in words is "eleven million, one hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 5741 11482 22964 28705 57410 114820 556877 1113754 2227508 2784385 5568770 11137540