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11907 = 3572
BaseRepresentation
bin10111010000011
3121100000
42322003
5340112
6131043
746500
oct27203
917300
1011907
118a45
126a83
13555c
1444a7
1537dc
hex2e83

11907 has 18 divisors (see below), whose sum is σ = 20748. Its totient is φ = 6804.

The previous prime is 11903. The next prime is 11909. The reversal of 11907 is 70911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11907 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11907 - 22 = 11903 is a prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 11907.

It is not an unprimeable number, because it can be changed into a prime (11903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1698 + ... + 1704.

211907 is an apocalyptic number.

11907 is a deficient number, since it is larger than the sum of its proper divisors (8841).

11907 is an frugal number, since it uses more digits than its factorization.

11907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 11907 is about 109.1192008768. The cubic root of 11907 is about 22.8349878331.

The spelling of 11907 in words is "eleven thousand, nine hundred seven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1701 3969 11907