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2004911040 = 263511189859
BaseRepresentation
bin111011110000000…
…1000001111000000
312011201121000220110
41313200020033000
513101224123130
6530540111320
7100453314456
oct16740101700
95151530813
102004911040
119397a1380
1247b535540
1325c4a67c2
141503b69d6
15bb032ab0
hex778083c0

2004911040 has 112 divisors (see below), whose sum is σ = 6944319360. Its totient is φ = 486036480.

The previous prime is 2004911033. The next prime is 2004911087. The reversal of 2004911040 is 401194002.

It is a junction number, because it is equal to n+sod(n) for n = 2004910998 and 2004911016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84370 + ... + 105489.

Almost surely, 22004911040 is an apocalyptic number.

2004911040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004911040 is an abundant number, since it is smaller than the sum of its proper divisors (4939408320).

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

2004911040 is a wasteful number, since it uses less digits than its factorization.

2004911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189890 (or 189880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2004911040 is about 44776.2329813485. The cubic root of 2004911040 is about 1260.9514607352.

The spelling of 2004911040 in words is "two billion, four million, nine hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 189859 379718 569577 759436 949295 1139154 1518872 1898590 2088449 2278308 2847885 3037744 3797180 4176898 4556616 5695770 6075488 6265347 7594360 8353796 9113232 10442245 11391540 12150976 12530694 15188720 16707592 18226464 20884490 22783080 25061388 30377440 31326735 33415184 36452928 41768980 45566160 50122776 60754880 62653470 66830368 83537960 91132320 100245552 125306940 133660736 167075920 182264640 200491104 250613880 334151840 400982208 501227760 668303680 1002455520 2004911040