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666665160 = 233571941771
BaseRepresentation
bin100111101111001…
…000000011001000
31201110110002200020
4213233020003020
52331131241120
6150052540440
722343363130
oct4757100310
91643402606
10666665160
11312351447
12167321720
13a816a535
146477bac0
153d7da640
hex27bc80c8

666665160 has 128 divisors (see below), whose sum is σ = 2406067200. Its totient is φ = 144357120.

The previous prime is 666665159. The next prime is 666665161. The reversal of 666665160 is 61566666.

It is an interprime number because it is at equal distance from previous prime (666665159) and next prime (666665161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (666665161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4926 + ... + 36845.

It is an arithmetic number, because the mean of its divisors is an integer number (18797400).

Almost surely, 2666665160 is an apocalyptic number.

666665160 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 666665160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203033600).

666665160 is an abundant number, since it is smaller than the sum of its proper divisors (1739402040).

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

666665160 is a wasteful number, since it uses less digits than its factorization.

666665160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41811 (or 41807 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 666665160 is about 25819.8597982251. The cubic root of 666665160 is about 873.5798066385.

The spelling of 666665160 in words is "six hundred sixty-six million, six hundred sixty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 41771 83542 125313 167084 208855 250626 292397 334168 417710 501252 584794 626565 793649 835420 877191 1002504 1169588 1253130 1461985 1587298 1670840 1754382 2339176 2380947 2506260 2923970 3174596 3508764 3968245 4385955 4761894 5012520 5555543 5847940 6349192 7017528 7936490 8771910 9523788 11111086 11695880 11904735 15872980 16666629 17543820 19047576 22222172 23809470 27777715 31745960 33333258 35087640 44444344 47618940 55555430 66666516 83333145 95237880 111110860 133333032 166666290 222221720 333332580 666665160