Search a number
-
+
196100 = 22523753
BaseRepresentation
bin101111111000000100
3100221222222
4233320010
522233400
64111512
71444502
oct577004
9327888
10196100
11124373
1295598
136b348
1451672
153d185
hex2fe04

196100 has 36 divisors (see below), whose sum is σ = 445284. Its totient is φ = 74880.

The previous prime is 196087. The next prime is 196111. The reversal of 196100 is 1691.

196100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 188356 = 88^2 + 434^2 .

It is an Ulam number.

196100 is a Rhonda number in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3674 + ... + 3726.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2196100 is an apocalyptic number.

196100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222642).

196100 is an abundant number, since it is smaller than the sum of its proper divisors (249184).

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

196100 is a wasteful number, since it uses less digits than its factorization.

196100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 196100 is about 442.8317965097. The cubic root of 196100 is about 58.0977345433.

Adding to 196100 its reverse (1691), we get a palindrome (197791).

The spelling of 196100 in words is "one hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 74 100 106 148 185 212 265 370 530 740 925 1060 1325 1850 1961 2650 3700 3922 5300 7844 9805 19610 39220 49025 98050 196100