Search a number
-
+
116001 = 3212889
BaseRepresentation
bin11100010100100001
312220010100
4130110201
512203001
62253013
7662124
oct342441
9186110
10116001
117a176
1257169
1340a52
14303bb
1524586
hex1c521

116001 has 6 divisors (see below), whose sum is σ = 167570. Its totient is φ = 77328.

The previous prime is 115987. The next prime is 116009. The reversal of 116001 is 100611.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 11025 = 324^2 + 105^2 .

It is not a de Polignac number, because 116001 - 27 = 115873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12889 = 116001 / (1 + 1 + 6 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116001.

It is not an unprimeable number, because it can be changed into a prime (116009) 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 5 ways as a sum of consecutive naturals, for example, 6436 + ... + 6453.

2116001 is an apocalyptic number.

It is an amenable number.

116001 is a deficient number, since it is larger than the sum of its proper divisors (51569).

116001 is a wasteful number, since it uses less digits than its factorization.

116001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 116001 is about 340.5891953659. The cubic root of 116001 is about 48.7701297540.

Adding to 116001 its reverse (100611), we get a palindrome (216612).

The spelling of 116001 in words is "one hundred sixteen thousand, one".

Divisors: 1 3 9 12889 38667 116001