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197688060 = 22335418929
BaseRepresentation
bin10111100100001…
…11101011111100
3111202222121001000
423302013223330
5401102004220
631341050300
74620215013
oct1362075374
9452877030
10197688060
11a1653a69
1256256990
1331c57bab
141c37da7a
151254e390
hexbc87afc

197688060 has 96 divisors (see below), whose sum is σ = 630100800. Its totient is φ = 51425280.

The previous prime is 197688031. The next prime is 197688061. The reversal of 197688060 is 60886791.

It is a happy number.

197688060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 197687997 and 197688015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197688061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17676 + ... + 26604.

It is an arithmetic number, because the mean of its divisors is an integer number (6563550).

Almost surely, 2197688060 is an apocalyptic number.

197688060 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 197688060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315050400).

197688060 is an abundant number, since it is smaller than the sum of its proper divisors (432412740).

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

197688060 is a wasteful number, since it uses less digits than its factorization.

197688060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 197688060 is about 14060.1586050798. The cubic root of 197688060 is about 582.5414241081.

The spelling of 197688060 in words is "one hundred ninety-seven million, six hundred eighty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 8929 11070 17858 22140 26787 35716 44645 53574 80361 89290 107148 133935 160722 178580 241083 267870 321444 366089 401805 482166 535740 732178 803610 964332 1098267 1205415 1464356 1607220 1830445 2196534 2410830 3294801 3660890 4393068 4821660 5491335 6589602 7321780 9884403 10982670 13179204 16474005 19768806 21965340 32948010 39537612 49422015 65896020 98844030 197688060