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1666080 = 253251389
BaseRepresentation
bin110010110110000100000
310010122102200
412112300200
5411303310
655413200
720106243
oct6266040
93118380
101666080
11a38829
12684200
13464460
1431525a
1522d9c0
hex196c20

1666080 has 144 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 405504.

The previous prime is 1666061. The next prime is 1666081. The reversal of 1666080 is 806661.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 898704 = 876^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1666081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18676 + ... + 18764.

21666080 is an apocalyptic number.

1666080 is a gapful number since it is divisible by the number (10) 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 1666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

1666080 is an abundant number, since it is smaller than the sum of its proper divisors (4525560).

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

1666080 is a wasteful number, since it uses less digits than its factorization.

1666080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1666080 is about 1290.7672137144. The cubic root of 1666080 is about 118.5491971122.

The spelling of 1666080 in words is "one million, six hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 89 90 96 104 117 120 130 144 156 160 178 180 195 208 234 240 260 267 288 312 356 360 390 416 445 468 480 520 534 585 624 712 720 780 801 890 936 1040 1068 1157 1170 1248 1335 1424 1440 1560 1602 1780 1872 2080 2136 2314 2340 2670 2848 3120 3204 3471 3560 3744 4005 4272 4628 4680 5340 5785 6240 6408 6942 7120 8010 8544 9256 9360 10413 10680 11570 12816 13884 14240 16020 17355 18512 18720 20826 21360 23140 25632 27768 32040 34710 37024 41652 42720 46280 52065 55536 64080 69420 83304 92560 104130 111072 128160 138840 166608 185120 208260 277680 333216 416520 555360 833040 1666080