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666008040 = 233515493583
BaseRepresentation
bin100111101100100…
…111100111101000
31201102012201021110
4213230213213220
52330444224130
6150030510320
722334655255
oct4754474750
91642181243
10666008040
11311a42775
121670653a0
13a7c9a3c9
146464a42c
153d70aab0
hex27b279e8

666008040 has 64 divisors (see below), whose sum is σ = 1999872000. Its totient is φ = 177437952.

The previous prime is 666008027. The next prime is 666008041. The reversal of 666008040 is 40800666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 666007989 and 666008007.

It is not an unprimeable number, because it can be changed into a prime (666008041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184089 + ... + 187671.

It is an arithmetic number, because the mean of its divisors is an integer number (31248000).

Almost surely, 2666008040 is an apocalyptic number.

666008040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

666008040 is an abundant number, since it is smaller than the sum of its proper divisors (1333863960).

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

666008040 is a wasteful number, since it uses less digits than its factorization.

666008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 666008040 is about 25807.1315724937. The cubic root of 666008040 is about 873.2926882521.

The spelling of 666008040 in words is "six hundred sixty-six million, eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1549 3098 3583 4647 6196 7166 7745 9294 10749 12392 14332 15490 17915 18588 21498 23235 28664 30980 35830 37176 42996 46470 53745 61960 71660 85992 92940 107490 143320 185880 214980 429960 5550067 11100134 16650201 22200268 27750335 33300402 44400536 55500670 66600804 83251005 111001340 133201608 166502010 222002680 333004020 666008040