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2107368480 = 25357289599
BaseRepresentation
bin111110110011011…
…1110010000100000
312102212101102002110
41331212332100200
513303441242410
6545040115320
7103136223300
oct17546762040
95385342073
102107368480
11991611148
124a9905b40
1327779a9c9
1415dc47600
15c5020720
hex7d9be420

2107368480 has 144 divisors (see below), whose sum is σ = 7722086400. Its totient is φ = 481678848.

The previous prime is 2107368463. The next prime is 2107368511. The reversal of 2107368480 is 848637012.

2107368480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21280 + ... + 68319.

It is an arithmetic number, because the mean of its divisors is an integer number (53625600).

Almost surely, 22107368480 is an apocalyptic number.

2107368480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107368480 is an abundant number, since it is smaller than the sum of its proper divisors (5614717920).

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

2107368480 is a wasteful number, since it uses less digits than its factorization.

2107368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89631 (or 89616 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2107368480 is about 45906.0832570151. The cubic root of 2107368480 is about 1282.0751819993.

The spelling of 2107368480 in words is "two billion, one hundred seven million, three hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 89599 179198 268797 358396 447995 537594 627193 716792 895990 1075188 1254386 1343985 1433584 1791980 1881579 2150376 2508772 2687970 2867168 3135965 3583960 3763158 4300752 4390351 5017544 5375940 6271930 7167920 7526316 8601504 8780702 9407895 10035088 10751880 12543860 13171053 14335840 15052632 17561404 18815790 20070176 21503760 21951755 25087720 26342106 30105264 35122808 37631580 43007520 43903510 50175440 52684212 60210528 65855265 70245616 75263160 87807020 100350880 105368424 131710530 140491232 150526320 175614040 210736848 263421060 301052640 351228080 421473696 526842120 702456160 1053684240 2107368480