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9139 = 131937
BaseRepresentation
bin10001110110011
3110112111
42032303
5243024
6110151
735434
oct21663
913474
109139
116959
125357
134210
14348b
152a94
hex23b3

9139 has 8 divisors (see below), whose sum is σ = 10640. Its totient is φ = 7776.

The previous prime is 9137. The next prime is 9151. The reversal of 9139 is 9319.

9139 is a nontrivial binomial coefficient, being equal to C(39, 3).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(9139) divides (9139-1)5.

It is a cyclic number.

It is not a de Polignac number, because 9139 - 21 = 9137 is a prime.

9139 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (9133) by changing a digit.

It is the 37-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

29139 is an apocalyptic number.

9139 is a deficient number, since it is larger than the sum of its proper divisors (1501).

9139 is a wasteful number, since it uses less digits than its factorization.

9139 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its digits is 243, while the sum is 22.

The square root of 9139 is about 95.5981171363. The cubic root of 9139 is about 20.9073774159.

The spelling of 9139 in words is "nine thousand, one hundred thirty-nine".

Divisors: 1 13 19 37 247 481 703 9139