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1868503680 = 27335108131
BaseRepresentation
bin110111101011111…
…0001101010000000
311211012220211012000
41233113301222000
512311314104210
6505224304000
764206006411
oct15727615200
94735824160
101868503680
118797a351a
12441912000
1323a1567a4
1413a229808
15ae08aac0
hex6f5f1a80

1868503680 has 128 divisors (see below), whose sum is σ = 6617678400. Its totient is φ = 498263040.

The previous prime is 1868503667. The next prime is 1868503687. The reversal of 1868503680 is 863058681.

1868503680 is a `hidden beast` number, since 1 + 8 + 68 + 503 + 6 + 80 = 666.

1868503680 is digitally balanced in base 4, 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1868503687) 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, 36786 + ... + 71345.

Almost surely, 21868503680 is an apocalyptic number.

1868503680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1868503680 is an abundant number, since it is smaller than the sum of its proper divisors (4749174720).

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

1868503680 is a wasteful number, since it uses less digits than its factorization.

1868503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108159 (or 108141 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1868503680 is about 43226.1920599074. The cubic root of 1868503680 is about 1231.6802734724.

The spelling of 1868503680 in words is "one billion, eight hundred sixty-eight million, five hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 108131 216262 324393 432524 540655 648786 865048 973179 1081310 1297572 1621965 1730096 1946358 2162620 2595144 2919537 3243930 3460192 3892716 4325240 4865895 5190288 5839074 6487860 6920384 7785432 8650480 9731790 10380576 11678148 12975720 13840768 14597685 15570864 17300960 19463580 20761152 23356296 25951440 29195370 31141728 34601920 38927160 41522304 46712592 51902880 58390740 62283456 69203840 77854320 93425184 103805760 116781480 124566912 155708640 186850368 207611520 233562960 311417280 373700736 467125920 622834560 934251840 1868503680