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166062080 = 211516217
BaseRepresentation
bin10011110010111…
…10100000000000
3102120110211100102
421321132200000
5320002441310
624251141532
74054335002
oct1171364000
9376424312
10166062080
1185812998
12477448a8
1328533ab2
14180aa372
15e8a38a5
hex9e5e800

166062080 has 48 divisors (see below), whose sum is σ = 398476260. Its totient is φ = 66420736.

The previous prime is 166062073. The next prime is 166062121. The reversal of 166062080 is 80260661.

It can be written as a sum of positive squares in 2 ways, for example, as 164660224 + 1401856 = 12832^2 + 1184^2 .

It is a super-2 number, since 2×1660620802 = 55153228827852800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2132 + ... + 18348.

Almost surely, 2166062080 is an apocalyptic number.

166062080 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 166062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199238130).

166062080 is an abundant number, since it is smaller than the sum of its proper divisors (232414180).

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

166062080 is an equidigital number, since it uses as much as digits as its factorization.

166062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16244 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 166062080 is about 12886.5076727560. The cubic root of 166062080 is about 549.6549681692.

The spelling of 166062080 in words is "one hundred sixty-six million, sixty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 16217 32434 64868 81085 129736 162170 259472 324340 518944 648680 1037888 1297360 2075776 2594720 4151552 5189440 8303104 10378880 16606208 20757760 33212416 41515520 83031040 166062080