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66103890 = 23541223241
BaseRepresentation
bin1111110000101…
…0101001010010
311121101102111020
43330022221102
5113410311030
610320500310
71431605466
oct374125122
9147342436
1066103890
113434a916
121a17a696
1310906338
148aca4a6
155c0b510
hex3f0aa52

66103890 has 64 divisors (see below), whose sum is σ = 163924992. Its totient is φ = 17049600.

The previous prime is 66103889. The next prime is 66103897. The reversal of 66103890 is 9830166.

66103890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66103897) 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 31 ways as a sum of consecutive naturals, for example, 274170 + ... + 274410.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 266103890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66103890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81962496).

66103890 is an abundant number, since it is smaller than the sum of its proper divisors (97821102).

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

66103890 is a wasteful number, since it uses less digits than its factorization.

66103890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 66103890 is about 8130.4298779339. The cubic root of 66103890 is about 404.3359335405.

The spelling of 66103890 in words is "sixty-six million, one hundred three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 223 241 246 410 446 482 615 669 723 1115 1205 1230 1338 1446 2230 2410 3345 3615 6690 7230 9143 9881 18286 19762 27429 29643 45715 49405 53743 54858 59286 91430 98810 107486 137145 148215 161229 268715 274290 296430 322458 537430 806145 1612290 2203463 4406926 6610389 11017315 13220778 22034630 33051945 66103890