Search a number
-
+
197372 = 22721953
BaseRepresentation
bin110000001011111100
3101000202002
4300023330
522303442
64121432
71451300
oct601374
9330662
10197372
1112531a
1296278
136bab6
1451d00
153d732
hex302fc

197372 has 36 divisors (see below), whose sum is σ = 430920. Its totient is φ = 78624.

The previous prime is 197371. The next prime is 197381. The reversal of 197372 is 273791.

It is a happy number.

197372 is nontrivially palindromic in base 13.

197372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3698 + ... + 3750.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2197372 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 197372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460).

197372 is an abundant number, since it is smaller than the sum of its proper divisors (233548).

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

197372 is a wasteful number, since it uses less digits than its factorization.

197372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its digits is 2646, while the sum is 29.

The square root of 197372 is about 444.2656862734. The cubic root of 197372 is about 58.2230806375.

The spelling of 197372 in words is "one hundred ninety-seven thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 49 53 76 98 106 133 196 212 266 371 532 742 931 1007 1484 1862 2014 2597 3724 4028 5194 7049 10388 14098 28196 49343 98686 197372