Search a number
-
+
6061332300 = 22352832291063
BaseRepresentation
bin1011010010100100…
…01001011101001100
3120122102110120202220
411221102021131030
544403200113200
62441243215340
7303130321512
oct55122113514
916572416686
106061332300
112630511741
121211b17550
137579c127a
144170164b2
152572004a0
hex16948974c

6061332300 has 144 divisors (see below), whose sum is σ = 17843024640. Its totient is φ = 1588412160.

The previous prime is 6061332281. The next prime is 6061332307. The reversal of 6061332300 is 32331606.

It is not an unprimeable number, because it can be changed into a prime (6061332307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5701569 + ... + 5702631.

Almost surely, 26061332300 is an apocalyptic number.

6061332300 is a gapful number since it is divisible by the number (60) 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 6061332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8921512320).

6061332300 is an abundant number, since it is smaller than the sum of its proper divisors (11781692340).

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

6061332300 is a wasteful number, since it uses less digits than its factorization.

6061332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 6061332300 is about 77854.5586333902. The cubic root of 6061332300 is about 1823.2911808490.

Adding to 6061332300 its reverse (32331606), we get a palindrome (6093663906).

The spelling of 6061332300 in words is "six billion, sixty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 229 249 300 332 415 458 498 687 830 916 996 1063 1145 1245 1374 1660 2075 2126 2290 2490 2748 3189 3435 4150 4252 4580 4980 5315 5725 6225 6378 6870 8300 10630 11450 12450 12756 13740 15945 17175 19007 21260 22900 24900 26575 31890 34350 38014 53150 57021 63780 68700 76028 79725 88229 95035 106300 114042 159450 176458 190070 228084 243427 264687 285105 318900 352916 380140 441145 475175 486854 529374 570210 730281 882290 950350 973708 1058748 1140420 1217135 1323435 1425525 1460562 1764580 1900700 2205725 2434270 2646870 2851050 2921124 3651405 4411450 4868540 5293740 5702100 6085675 6617175 7302810 8822900 12171350 13234350 14605620 18257025 20204441 24342700 26468700 36514050 40408882 60613323 73028100 80817764 101022205 121226646 202044410 242453292 303066615 404088820 505111025 606133230 1010222050 1212266460 1515333075 2020444100 3030666150 6061332300