Search a number
-
+
197296 = 24111959
BaseRepresentation
bin110000001010110000
3101000122021
4300022300
522303141
64121224
71451131
oct601260
9330567
10197296
11125260
1296214
136ba58
1451c88
153d6d1
hex302b0

197296 has 40 divisors (see below), whose sum is σ = 446400. Its totient is φ = 83520.

The previous prime is 197293. The next prime is 197297. The reversal of 197296 is 692791.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3315 + ... + 3373.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2197296 is an apocalyptic number.

197296 is a gapful number since it is divisible by the number (16) 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 197296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

197296 is an abundant number, since it is smaller than the sum of its proper divisors (249104).

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

197296 is a wasteful number, since it uses less digits than its factorization.

197296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The square root of 197296 is about 444.1801436354. The cubic root of 197296 is about 58.2156065577.

The spelling of 197296 in words is "one hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 59 76 88 118 152 176 209 236 304 418 472 649 836 944 1121 1298 1672 2242 2596 3344 4484 5192 8968 10384 12331 17936 24662 49324 98648 197296