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666094080 = 2935432017
BaseRepresentation
bin100111101100111…
…100101000000000
31201102101002022010
4213230330220000
52331010002310
6150032412520
722335464151
oct4754745000
91642332263
10666094080
11311aa1383
121670a7140
13a7cca612
146466d928
153d726320
hex27b3ca00

666094080 has 160 divisors (see below), whose sum is σ = 2180021184. Its totient is φ = 173408256.

The previous prime is 666094063. The next prime is 666094103. The reversal of 666094080 is 80490666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×6660940802 = 887362646822092800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 329232 + ... + 331248.

Almost surely, 2666094080 is an apocalyptic number.

666094080 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 666094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090010592).

666094080 is an abundant number, since it is smaller than the sum of its proper divisors (1513927104).

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

666094080 is a wasteful number, since it uses less digits than its factorization.

666094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 666094080 is about 25808.7984997365. The cubic root of 666094080 is about 873.3302928369.

The spelling of 666094080 in words is "six hundred sixty-six million, ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1032 1280 1290 1376 1536 1720 1920 2017 2064 2560 2580 2752 3440 3840 4034 4128 5160 5504 6051 6880 7680 8068 8256 10085 10320 11008 12102 13760 16136 16512 20170 20640 22016 24204 27520 30255 32272 33024 40340 41280 48408 55040 60510 64544 66048 80680 82560 86731 96816 110080 121020 129088 161360 165120 173462 193632 242040 258176 260193 322720 330240 346924 387264 433655 484080 516352 520386 645440 693848 774528 867310 968160 1032704 1040772 1290880 1300965 1387696 1549056 1734620 1936320 2081544 2581760 2601930 2775392 3098112 3469240 3872640 4163088 5163520 5203860 5550784 6938480 7745280 8326176 10407720 11101568 13876960 15490560 16652352 20815440 22203136 27753920 33304704 41630880 44406272 55507840 66609408 83261760 111015680 133218816 166523520 222031360 333047040 666094080