Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
197568 = 263273
BaseRepresentation
bin110000001111000000
3101001000100
4300033000
522310233
64122400
71452000
oct601700
9331010
10197568
11125488
1296400
136bc07
1452000
153d813
hex303c0

197568 has 84 divisors (see below), whose sum is σ = 660400. Its totient is φ = 56448.

The previous prime is 197567. The next prime is 197569. The reversal of 197568 is 865791.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

197568 is a `hidden beast` number, since 1 + 97 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (197567) and next prime (197569).

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1975682 = 78066229248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (15120) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12 and base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197567) 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, 28221 + ... + 28227.

2197568 is an apocalyptic number.

197568 is a gapful number since it is divisible by the number (18) 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 197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330200).

197568 is an abundant number, since it is smaller than the sum of its proper divisors (462832).

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

197568 is an equidigital number, since it uses as much as digits as its factorization.

197568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 197568 is about 444.4862202589. The cubic root of 197568 is about 58.2423470455.

The spelling of 197568 in words is "one hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 343 392 441 448 504 576 588 672 686 784 882 1008 1029 1176 1344 1372 1568 1764 2016 2058 2352 2744 3087 3136 3528 4032 4116 4704 5488 6174 7056 8232 9408 10976 12348 14112 16464 21952 24696 28224 32928 49392 65856 98784 197568