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427066560 = 2633549429
BaseRepresentation
bin11001011101001…
…000010011000000
31002202121020012000
4121131020103000
51333312112220
6110213304000
713404002004
oct3135102300
91082536160
10427066560
111aa082478
12bb035000
136a62a30b
1440a0c704
152775d390
hex197484c0

427066560 has 112 divisors (see below), whose sum is σ = 1506626400. Its totient is φ = 113882112.

The previous prime is 427066559. The next prime is 427066573. The reversal of 427066560 is 65660724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16075 + ... + 33354.

Almost surely, 2427066560 is an apocalyptic number.

427066560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427066560 is an abundant number, since it is smaller than the sum of its proper divisors (1079559840).

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

427066560 is a wasteful number, since it uses less digits than its factorization.

427066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49455 (or 49439 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 427066560 is about 20665.5887890958. The cubic root of 427066560 is about 753.0639459353.

The spelling of 427066560 in words is "four hundred twenty-seven million, sixty-six thousand, five hundred sixty".

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 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 49429 98858 148287 197716 247145 296574 395432 444861 494290 593148 741435 790864 889722 988580 1186296 1334583 1482870 1581728 1779444 1977160 2224305 2372592 2669166 2965740 3163456 3558888 3954320 4448610 4745184 5338332 5931480 6672915 7117776 7908640 8897220 9490368 10676664 11862960 13345830 14235552 15817280 17794440 21353328 23725920 26691660 28471104 35588880 42706656 47451840 53383320 71177760 85413312 106766640 142355520 213533280 427066560