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166020064 = 2571634547
BaseRepresentation
bin10011110010101…
…00001111100000
3102120101200201021
421321110033200
5320000120224
624250215224
74054101340
oct1171241740
9376350637
10166020064
1185794371
1247724514
132851a932
1418098d20
15e8961e4
hex9e543e0

166020064 has 48 divisors (see below), whose sum is σ = 375919488. Its totient is φ = 70699392.

The previous prime is 166020061. The next prime is 166020067. The reversal of 166020064 is 460020661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (166020061) and next prime (166020067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166020061) 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 7 ways as a sum of consecutive naturals, for example, 34239 + ... + 38785.

It is an arithmetic number, because the mean of its divisors is an integer number (7831656).

Almost surely, 2166020064 is an apocalyptic number.

166020064 is a gapful number since it is divisible by the number (14) 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 166020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187959744).

166020064 is an abundant number, since it is smaller than the sum of its proper divisors (209899424).

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

166020064 is a wasteful number, since it uses less digits than its factorization.

166020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 166020064 is about 12884.8773374060. The cubic root of 166020064 is about 549.6086074927.

The spelling of 166020064 in words is "one hundred sixty-six million, twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 1141 1304 2282 2608 4547 4564 5216 9094 9128 18188 18256 31829 36376 36512 63658 72752 127316 145504 254632 509264 741161 1018528 1482322 2964644 5188127 5929288 10376254 11858576 20752508 23717152 41505016 83010032 166020064