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666478080 = 2932528927
BaseRepresentation
bin100111101110011…
…010011000000000
31201110002121001100
4213232122120000
52331104244310
6150044534400
722341653532
oct4756323000
91643077040
10666478080
11312233934
12167251400
13a8103338
146472d852
153d79eec0
hex27b9a600

666478080 has 120 divisors (see below), whose sum is σ = 2308280832. Its totient is φ = 177721344.

The previous prime is 666478079. The next prime is 666478117. The reversal of 666478080 is 80874666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6664780802 = 888386062240972800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8577 + ... + 37503.

Almost surely, 2666478080 is an apocalyptic number.

666478080 is a gapful number since it is divisible by the number (60) 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 666478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154140416).

666478080 is an abundant number, since it is smaller than the sum of its proper divisors (1641802752).

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

666478080 is a wasteful number, since it uses less digits than its factorization.

666478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28956 (or 28937 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 666478080 is about 25816.2367513160. The cubic root of 666478080 is about 873.4980841539.

The spelling of 666478080 in words is "six hundred sixty-six million, four hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 28927 57854 86781 115708 144635 173562 231416 260343 289270 347124 433905 462832 520686 578540 694248 867810 925664 1041372 1157080 1301715 1388496 1735620 1851328 2082744 2314160 2603430 2776992 3471240 3702656 4165488 4628320 5206860 5553984 6942480 7405312 8330976 9256640 10413720 11107968 13884960 14810624 16661952 18513280 20827440 22215936 27769920 33323904 37026560 41654880 44431872 55539840 66647808 74053120 83309760 111079680 133295616 166619520 222159360 333239040 666478080