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2009303660 = 2257136131801
BaseRepresentation
bin111011111000011…
…1000101001101100
312012000212012110002
41313300320221230
513103340204120
6531214203432
7100535541110
oct16760705154
95160765402
102009303660
11941221641
12480ab3578
13260383ca0
14150bdb740
15bb5ee375
hex77c38a6c

2009303660 has 96 divisors (see below), whose sum is σ = 5204637312. Its totient is φ = 634521600.

The previous prime is 2009303651. The next prime is 2009303671. The reversal of 2009303660 is 663039002.

It is an unprimeable number.

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, 1114760 + ... + 1116560.

It is an arithmetic number, because the mean of its divisors is an integer number (54214972).

Almost surely, 22009303660 is an apocalyptic number.

2009303660 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 2009303660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602318656).

2009303660 is an abundant number, since it is smaller than the sum of its proper divisors (3195333652).

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

2009303660 is a wasteful number, since it uses less digits than its factorization.

2009303660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 2009303660 is about 44825.2569429334. The cubic root of 2009303660 is about 1261.8716745354.

The spelling of 2009303660 in words is "two billion, nine million, three hundred three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 613 910 1226 1801 1820 2452 3065 3602 4291 6130 7204 7969 8582 9005 12260 12607 15938 17164 18010 21455 23413 25214 31876 36020 39845 42910 46826 50428 55783 63035 79690 85820 93652 111566 117065 126070 159380 163891 223132 234130 252140 278915 327782 468260 557830 655564 819455 1104013 1115660 1638910 2208026 3277820 4416052 5520065 7728091 11040130 14352169 15456182 22080260 28704338 30912364 38640455 57408676 71760845 77280910 100465183 143521690 154561820 200930366 287043380 401860732 502325915 1004651830 2009303660