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200130320 = 24513199967
BaseRepresentation
bin10111110110110…
…11111100010000
3111221120200012002
423323123330100
5402213132240
631505253132
74650036215
oct1373337420
9457520162
10200130320
11a2a71965
12570341a8
1332601710
141c817b0c
1512882d15
hexbedbf10

200130320 has 80 divisors (see below), whose sum is σ = 504134400. Its totient is φ = 73446912.

The previous prime is 200130319. The next prime is 200130323. The reversal of 200130320 is 23031002.

200130320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (200130323) 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 15 ways as a sum of consecutive naturals, for example, 206477 + ... + 207443.

It is an arithmetic number, because the mean of its divisors is an integer number (6301680).

Almost surely, 2200130320 is an apocalyptic number.

200130320 is a gapful number since it is divisible by the number (20) 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 200130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

200130320 is an abundant number, since it is smaller than the sum of its proper divisors (304004080).

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

200130320 is a wasteful number, since it uses less digits than its factorization.

200130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 200130320 is about 14146.7423811986. The cubic root of 200130320 is about 584.9305393945.

Adding to 200130320 its reverse (23031002), we get a palindrome (223161322).

The spelling of 200130320 in words is "two hundred million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 199 208 260 398 520 796 967 995 1040 1592 1934 1990 2587 3184 3868 3980 4835 5174 7736 7960 9670 10348 12571 12935 15472 15920 19340 20696 25142 25870 38680 41392 50284 51740 62855 77360 100568 103480 125710 192433 201136 206960 251420 384866 502840 769732 962165 1005680 1539464 1924330 2501629 3078928 3848660 5003258 7697320 10006516 12508145 15394640 20013032 25016290 40026064 50032580 100065160 200130320