Search a number
-
+
6100 = 225261
BaseRepresentation
bin1011111010100
322100221
41133110
5143400
644124
723533
oct13724
98327
106100
114646
123644
132a13
14231a
151c1a
hex17d4

6100 has 18 divisors (see below), whose sum is σ = 13454. Its totient is φ = 2400.

The previous prime is 6091. The next prime is 6101. The reversal of 6100 is 16.

Adding to 6100 its reverse (16), we get a palindrome (6116).

Subtracting from 6100 its reverse (16), we obtain a square (6084 = 782).

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 6084 = 4^2 + 78^2 .

6100 is an undulating number in base 11.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70 + ... + 130.

26100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727).

6100 is an abundant number, since it is smaller than the sum of its proper divisors (7354).

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

6100 is a wasteful number, since it uses less digits than its factorization.

6100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 6100 is about 78.1024967591. The cubic root of 6100 is about 18.2716013686.

The spelling of 6100 in words is "six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100