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666871440 = 243553103509
BaseRepresentation
bin100111101111111…
…010011010010000
31201110211120122020
4213233322122100
52331204341230
6150101211440
722345212414
oct4757723220
91643746566
10666871440
11312482424
12167400b80
13a82103b1
14647d2d44
153d82b810
hex27bfa690

666871440 has 160 divisors (see below), whose sum is σ = 2130935040. Its totient is φ = 172443648.

The previous prime is 666871409. The next prime is 666871463. The reversal of 666871440 is 44178666.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 666871392 and 666871401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1309906 + ... + 1310414.

It is an arithmetic number, because the mean of its divisors is an integer number (13318344).

Almost surely, 2666871440 is an apocalyptic number.

666871440 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 666871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065467520).

666871440 is an abundant number, since it is smaller than the sum of its proper divisors (1464063600).

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

666871440 is a wasteful number, since it uses less digits than its factorization.

666871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 666871440 is about 25823.8540888071. The cubic root of 666871440 is about 873.6698985719.

The spelling of 666871440 in words is "six hundred sixty-six million, eight hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 103 106 120 159 206 212 240 265 309 318 412 424 509 515 530 618 636 795 824 848 1018 1030 1060 1236 1272 1527 1545 1590 1648 2036 2060 2120 2472 2544 2545 3054 3090 3180 4072 4120 4240 4944 5090 5459 6108 6180 6360 7635 8144 8240 10180 10918 12216 12360 12720 15270 16377 20360 21836 24432 24720 26977 27295 30540 32754 40720 43672 52427 53954 54590 61080 65508 80931 81885 87344 104854 107908 109180 122160 131016 134885 157281 161862 163770 209708 215816 218360 262032 262135 269770 314562 323724 327540 404655 419416 431632 436720 524270 539540 629124 647448 655080 786405 809310 838832 1048540 1079080 1258248 1294896 1310160 1572810 1618620 2097080 2158160 2516496 2778631 3145620 3237240 4194160 5557262 6291240 6474480 8335893 11114524 12582480 13893155 16671786 22229048 27786310 33343572 41679465 44458096 55572620 66687144 83358930 111145240 133374288 166717860 222290480 333435720 666871440