Search a number
-
+
196830 = 2395
BaseRepresentation
bin110000000011011110
3101000000000
4300003132
522244310
64115130
71446564
oct600336
9330000
10196830
11124977
1295aa6
136b78a
1451a34
153d4c0
hex300de

196830 has 40 divisors (see below), whose sum is σ = 531432. Its totient is φ = 52488.

The previous prime is 196817. The next prime is 196831. The reversal of 196830 is 38691.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 196794 and 196803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196831) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39364 + ... + 39368.

196830 is a Friedman number, since it can be written as 10*(9-6)^8*3, using all its digits and the basic arithmetic operations.

2196830 is an apocalyptic number.

196830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 196830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265716).

196830 is an abundant number, since it is smaller than the sum of its proper divisors (334602).

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

196830 is an frugal number, since it uses more digits than its factorization.

196830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 196830 is about 443.6552715792. The cubic root of 196830 is about 58.1697366309.

The spelling of 196830 in words is "one hundred ninety-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 6561 7290 10935 13122 19683 21870 32805 39366 65610 98415 196830