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2008196320 = 255134322453
BaseRepresentation
bin111011110110010…
…1010010011100000
312011221202221110111
41313230222103200
513103044240240
6531134341104
7100523246524
oct16754522340
95157687414
102008196320
11940635689
1248065a794
13260086c60
141509cdd84
15bb4811ea
hex77b2a4e0

2008196320 has 96 divisors (see below), whose sum is σ = 5228368992. Its totient is φ = 724211712.

The previous prime is 2008196303. The next prime is 2008196327. The reversal of 2008196320 is 236918002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008196327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78214 + ... + 100666.

It is an arithmetic number, because the mean of its divisors is an integer number (54462177).

Almost surely, 22008196320 is an apocalyptic number.

2008196320 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 2008196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614184496).

2008196320 is an abundant number, since it is smaller than the sum of its proper divisors (3220172672).

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

2008196320 is a wasteful number, since it uses less digits than its factorization.

2008196320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22524 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2008196320 is about 44812.9034988808. The cubic root of 2008196320 is about 1261.6398234424.

The spelling of 2008196320 in words is "two billion, eight million, one hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 65 80 86 104 130 160 172 208 215 260 344 416 430 520 559 688 860 1040 1118 1376 1720 2080 2236 2795 3440 4472 5590 6880 8944 11180 17888 22360 22453 44720 44906 89440 89812 112265 179624 224530 291889 359248 449060 583778 718496 898120 965479 1167556 1459445 1796240 1930958 2335112 2918890 3592480 3861916 4670224 4827395 5837780 7723832 9340448 9654790 11675560 12551227 15447664 19309580 23351120 25102454 30895328 38619160 46702240 50204908 62756135 77238320 100409816 125512270 154476640 200819632 251024540 401639264 502049080 1004098160 2008196320