Search a number
-
+
198000640 = 21452417
BaseRepresentation
bin10111100110101…
…00000000000000
3111210120110211001
423303110000000
5401142010030
631351501344
74622656225
oct1363240000
9453513731
10198000640
11a18478a2
1256387854
1332037256
141c42194c
15125b1cca
hexbcd4000

198000640 has 60 divisors (see below), whose sum is σ = 475383636. Its totient is φ = 79167488.

The previous prime is 198000619. The next prime is 198000697. The reversal of 198000640 is 46000891.

It can be written as a sum of positive squares in 2 ways, for example, as 144769024 + 53231616 = 12032^2 + 7296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 198000599 and 198000608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80712 + ... + 83128.

Almost surely, 2198000640 is an apocalyptic number.

198000640 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 198000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237691818).

198000640 is an abundant number, since it is smaller than the sum of its proper divisors (277382996).

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

198000640 is an frugal number, since it uses more digits than its factorization.

198000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 198000640 is about 14071.2700208617. The cubic root of 198000640 is about 582.8482963085.

The spelling of 198000640 in words is "one hundred ninety-eight million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2417 2560 4096 4834 5120 8192 9668 10240 12085 16384 19336 20480 24170 38672 40960 48340 77344 81920 96680 154688 193360 309376 386720 618752 773440 1237504 1546880 2475008 3093760 4950016 6187520 9900032 12375040 19800064 24750080 39600128 49500160 99000320 198000640