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66106014 = 23138310211
BaseRepresentation
bin1111110000101…
…1001010011110
311121101112101220
43330023022132
5113410343024
610320514210
71431614622
oct374131236
9147345356
1066106014
1134351477
121a17b966
13109072b0
148acb182
155c0be79
hex3f0b29e

66106014 has 32 divisors (see below), whose sum is σ = 144111744. Its totient is φ = 20093280.

The previous prime is 66105989. The next prime is 66106031. The reversal of 66106014 is 41060166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (4503492).

Almost surely, 266106014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72055872).

66106014 is an abundant number, since it is smaller than the sum of its proper divisors (78005730).

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

66106014 is a wasteful number, since it uses less digits than its factorization.

66106014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66106014 is about 8130.5604972843. The cubic root of 66106014 is about 404.3402640992.

The spelling of 66106014 in words is "sixty-six million, one hundred six thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 78 83 166 249 498 1079 2158 3237 6474 10211 20422 30633 61266 132743 265486 398229 796458 847513 1695026 2542539 5085078 11017669 22035338 33053007 66106014