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166681980 = 223252773343
BaseRepresentation
bin10011110111101…
…01110101111100
3102121122022200200
421323311311330
5320132310410
624312323500
74062526203
oct1173656574
9377568620
10166681980
11860a6703
12479a3590
13286bccba
14181cc23a
15e9773c0
hex9ef5d7c

166681980 has 72 divisors (see below), whose sum is σ = 507579072. Its totient is φ = 44274816.

The previous prime is 166681973. The next prime is 166682023. The reversal of 166681980 is 89186661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48189 + ... + 51531.

Almost surely, 2166681980 is an apocalyptic number.

166681980 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 166681980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253789536).

166681980 is an abundant number, since it is smaller than the sum of its proper divisors (340897092).

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

166681980 is a wasteful number, since it uses less digits than its factorization.

166681980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 166681980 is about 12910.5375565853. The cubic root of 166681980 is about 550.3380621371.

The spelling of 166681980 in words is "one hundred sixty-six million, six hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 3343 4155 4986 5540 6686 8310 9972 10029 12465 13372 16620 16715 20058 24930 30087 33430 40116 49860 50145 60174 66860 100290 120348 150435 200580 300870 601740 926011 1852022 2778033 3704044 4630055 5556066 8334099 9260110 11112132 13890165 16668198 18520220 27780330 33336396 41670495 55560660 83340990 166681980