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666607104 = 293348221
BaseRepresentation
bin100111101110111…
…001111000000000
31201110100011001000
4213232321320000
52331122411404
6150051412000
722343031642
oct4756717000
91643304030
10666607104
11312311869
121672b4000
13a8149c97
1464764892
153d7c8339
hex27bb9e00

666607104 has 80 divisors (see below), whose sum is σ = 1973244240. Its totient is φ = 222197760.

The previous prime is 666607087. The next prime is 666607121. The reversal of 666607104 is 401706666.

666607104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (666607087) and next prime (666607121).

It is a super-2 number, since 2×6666071042 = 888730062206533632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10287 + ... + 37934.

It is an arithmetic number, because the mean of its divisors is an integer number (24665553).

Almost surely, 2666607104 is an apocalyptic number.

666607104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

666607104 is an abundant number, since it is smaller than the sum of its proper divisors (1306637136).

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

666607104 is an equidigital number, since it uses as much as digits as its factorization.

666607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48248 (or 48226 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 666607104 is about 25818.7355228718. The cubic root of 666607104 is about 873.5544475704.

The spelling of 666607104 in words is "six hundred sixty-six million, six hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 48221 96442 144663 192884 289326 385768 433989 578652 771536 867978 1157304 1301967 1543072 1735956 2314608 2603934 3086144 3471912 4629216 5207868 6172288 6943824 9258432 10415736 12344576 13887648 18516864 20831472 24689152 27775296 37033728 41662944 55550592 74067456 83325888 111101184 166651776 222202368 333303552 666607104